Properties of the Number 31030

Thirty-One Thousand Thirty

Basics

Value: 31029 → 31030 → 31031

Parity: even

Prime: No

Previous Prime: 31019

Next Prime: 31033

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 × 29 × 107

Divisors: 1, 2, 5, 10, 29, 58, 107, 145, 214, 290

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111100100110110

Octal: 74466

Duodecimal: 15B5A

Hexadecimal: 7936

Square: 962860900

Square Root: 176.15334229017625

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Let S be any integer in the range 6 <= S <= 24. Sequence has the property that a(n)*S is the sum of all positive integers whose decimal expansion has <= n digits and contains at most three distinct nonzero digits d1, d2, d3 such that d1+d2+d3 = S. A328350

Triangle T, read by rows, equal to the matrix square of triangle A117418; also equals a column bisection of triangle A117418: column 2k+1 of T^1/2 equals column k of T. A117427

Number of permutations of [n] with four inversions. A5287

Group the composite numbers so that the sum of the n-th group is a multiple of the n-th prime: (4), (6), (8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22), (24, 25), (26, 27, 28, 30, 32), (33, 34, ...), ... Sequence gives sum of n-th group. A74124

Number of reduced words of length n in the Weyl group A₂₈. A161571

Number of partitions p of n such that (number of parts of p) - min(p) is not a part of p. A238548

a(n) = n*(n + 1)*(7·n + 11)/6. A255687

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 246", based on the 5-celled von Neumann neighborhood. A271010

(Sum of digits of n)⁶ - (sum of digits⁶ of n). A69966

Triangle read by rows: T(n,k) is the number of hill-free Schroeder paths of length 2n that have k weak ascents (1<=k<=n-1 for n>=2; k=1 for n=1). A Schroeder path of length 2n is a lattice path from (0,0) to (2n,0) consisting of U=(1,1), D=(1,-1) and H=(2,0) steps and never going below the x-axis. A hill is a peak at height 1. A weak ascent in a Schroeder path is a maximal sequence of consecutive U and H steps. A114691