Properties of the Number 31004

Thirty-One Thousand Four

Basics

Value: 31003 → 31004 → 31005

Parity: even

Prime: No

Previous Prime: 30983

Next Prime: 31013

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 23 × 337

Divisors: 1, 2, 4, 23, 46, 92, 337, 674, 1348, 7751

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111100100011100

Octal: 74434

Duodecimal: 15B38

Hexadecimal: 791c

Square: 961248016

Square Root: 176.07952748687168

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

Numbers n such that Bernoulli number B_n has denominator 1410. A272369

Triangle read by rows: T(n, k) = number of hill-free Dyck paths (i.e., no peaks at height 1) of semilength n and having k peaks. A100754

Numbers k such that 141·2^k+1 is prime. A32420

Number of (w,x,y,z) with all terms in {0,...,n} and w=max{w,x,y,z}-min{w,x,y,z}; i.e., the range of (w,x,y,z) is its first term. A212744

Number of excursions of length n with Motzkin-steps avoiding the consecutive steps UD, HH and DU. A329664

Number of permutations of length n which avoid the patterns 1234, 3142, 3421. A116767

Position of n-th 5 in A030998. A31004