Properties of the Number 31437

Thirty-One Thousand Four Hundred Thirty-Seven

Basics

Value: 31436 → 31437 → 31438

Parity: odd

Prime: No

Previous Prime: 31397

Next Prime: 31469

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 499

Divisors: 1, 3, 7, 9, 21, 63, 499, 1497, 3493, 4491

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101011001101

Octal: 75315

Duodecimal: 16239

Hexadecimal: 7acd

Square: 988284969

Square Root: 177.30482226944648

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

Quadrinomial coefficients: C(2+n,n) + C(3+n,n) + C(4+n,n). A5718

G.f. is the polynomial (∏_k=1..28 (1 - x^3·k))/(1-x)²⁸. A162727

Number of terms of A072873 less than or equal to 10ⁿ. A267757

Number of nX5 0..1 arrays with every element unequal to 0, 1, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318347

Triangle read by rows: T(n,k) gives n! times the coefficient of x^k in the polynomial that describes the number of permutations on·letters with major index n. A342645

a(n) = (3ⁿ - 1)/2. A3462

a(n) = smallest prime p such that p is the home prime (cf. A037274) of exactly n natural numbers. A118756

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318350

a(n) = ceiling(log(3 + 2·n)/log(3)). A64099

Number of nonisomorphic regular linear spaces RLIN(n). A31437