Properties of the Number 37692

Thirty-Seven Thousand Six Hundred Ninety-Two

Basics

Value: 37691 → 37692 → 37693

Parity: even

Prime: No

Previous Prime: 37691

Next Prime: 37693

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 349

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001001100111100

Octal: 111474

Duodecimal: 19990

Hexadecimal: 933c

Square: 1420686864

Square Root: 194.14427624836122

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 k that have at least two different representations as the product of a number and of its decimal digits. A336944

Coefficient of q³ in ν(n), where ν(0)=1, ν(1)=b and, for n>=2, ν(n)=b*ν(n-1)+λ*(1+q+q²+...+q^n-2)*ν(n-2) with (b,λ)=(1,2). A74354

Number of asymmetric mobiles (circular rooted trees) with n nodes and 3 leaves. A55364

McKay-Thompson series of class 26B for Monster. A58597

Expansion of q^-1 * (χ(-q¹³) / χ(-q))² in powers of q where χ() is a Ramanujan θ function. A128518

a(n) = ∑_k=0..n binomial(n,k)⁴/(n+1). A178824

The π-based arithmetic derivative of the double factorial of n. A259409

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 0, -1), (1, -1, -1), (1, 1, 0)}. A148686

(1/p)*∑_k=0..nbinomial(n,k)⁴ where p is a prime in the interval ]n, 4n/3]. A212324

T(n,k) = number of (n+2) X (k+2) binary matrices with every 3 X 3 block having exactly four 1's. A181262