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Properties of the Number 31380

Thirty-One Thousand Three Hundred Eighty

Basics

Value: 31379 → 31380 → 31381

Parity: even

Prime: No

Previous Prime: 31379

Next Prime: 31387

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 2 × 3 × 5 × 523

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111101010010100

Octal: 75224

Duodecimal: 161B0

Hexadecimal: 7a94

Square: 984704400

Square Root: 177.14400921284354

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 p(7n) is prime, where p(n) is the number of partitions of n. A114167
T(n,k) is the number of length n+1 0..2·k arrays with the sum of the absolute values of adjacent differences equal to n·k. A249982
T(n,k)=Number of nXk 0..1 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors. A202979
Table read by rows: T(n,k) = number of k-sided polygons in an equal-armed cross with arms of length n (see Comments in A331456 for definition) for k = 3,4,5,6,7. A333037
Numbers k for which σ(k - x) + σ(k + x) = 8·k has at least one nonnegative solution. A384841
Number of n-node rooted unlabeled trees with out-degree <=2 and exactly 2 edges at the root. A36657
Number of nX5 0..1 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors. A202976
Number of length n+1 0..2·2 arrays with the sum of the absolute values of adjacent differences equal to n·2. A249976
Number of length 7+1 0..2·n arrays with the sum of the absolute values of adjacent differences equal to 7·n. A249987
Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 133", based on the 5-celled von Neumann neighborhood. A270234