Properties of the Number 37446

Thirty-Seven Thousand Four Hundred Forty-Six

Basics

Value: 37445 → 37446 → 37447

Parity: even

Prime: No

Previous Prime: 37441

Next Prime: 37447

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 79 ²

Divisors: 1, 2, 3, 6, 79, 158, 237, 474, 6241, 12482

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001001000110

Octal: 111106

Duodecimal: 19806

Hexadecimal: 9246

Square: 1402202916

Square Root: 193.50968967987106

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 such that σ(k) = ψ(k) + τ(k). A387953

Numbers k such that s(k) = 2·k, where s(k) is the sum of divisors of k that have a square factor (A162296). A322609

a(n) = prime(n)² + prime(n+1). A352851

Number of triple-rises in all length n left factors of Dyck paths (triple-rise = three consecutive (1,1)-steps). A191787

Numbers k such that p² divides k, where p = A006530(k), the largest prime factor of k, and σ(k) does not have any prime factor larger than p. A336354

usigma(n) = 2n + d(n), where d(n) is the number of divisors of n. A63829

Upper Pythagorean twins. A228877

Differences of the increasing arithmetic progression a²+a, b²+b, c²+c, where b = 5·a+2, c = 7·a+3 and a >= 0. A260955

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (1, -1, 1), (1, 1, -1), (1, 1, 1)}. A149445

Numbers k such that 7·R_k + 10^k - 6 is prime, where R_k = 11...11 is the repunit (A002275) of length k. A259121