Properties of the Number 37452

Thirty-Seven Thousand Four Hundred Fifty-Two

Basics

Value: 37451 → 37452 → 37453

Parity: even

Prime: No

Previous Prime: 37447

Next Prime: 37463

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 3121

Divisors: 1, 2, 3, 4, 6, 12, 3121, 6242, 9363, 12484

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001001001100

Octal: 111114

Duodecimal: 19810

Hexadecimal: 924c

Square: 1402652304

Square Root: 193.52519215854042

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

Magic sums of 4 X 4 semimagic squares composed of consecutive primes. A270864

Values of n such that n² + (n-d)² is prime for a record first value of d. A239390

a(n) equals the (n*(n+1)/2)-th partial sum of the self-convolution cube of A010054, which has the g.f.: ∑_k>=0 x^k*(k+1/2). A109414

Number of subsets of {1,2,3,...,n} that sum to 0 mod 7. A68013

A217941(n)/2. A217942

Number of (n+1) X (7+1) 0..1 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253434

Number of (7+1) X (n+1) 0..1 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253441

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253435

Let F(x) = 1 + 1·x + 4·x² + 10·x³ + ..., the g.f. for A000293 (solid partitions), and write F(x) = 1/∏_n>=1 (1 - xⁿ)^a(n). A37452

Squares of even hexagonal pyramidal numbers. A14803