Properties of the Number 38178

Thirty-Eight Thousand One Hundred Seventy-Eight

Basics

Value: 38177 → 38178 → 38179

Parity: even

Prime: No

Previous Prime: 38177

Next Prime: 38183

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 7 × 101

Divisors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010100100010

Octal: 112442

Duodecimal: 1A116

Hexadecimal: 9522

Square: 1457559684

Square Root: 195.3919138552054

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

a(n) is the smallest positive integer which can be represented as the sum of distinct nonzero n-gonal pyramidal numbers in exactly n ways, or 0 if no such integer exists. A350210

Numbers k such that sopf(k) = sopf(k+2), where sopf(k) = A008472(k). A63968

E.g.f. satisfies A(x) = x·exp( -A(x) + x·exp(-A(x)) ). A360442

The number of 3D walks of length n in an octant returning to axis of origin. A302179

Regular triangle of certain polynomial expansion coefficients for the n-th power series. A355570

G.f. satisfies: A(x) = ∑_n>=0 binomial((n+1)²,n)/(n+1) * xⁿ/A(x)ⁿ. A295764

Numbers k such that k = (sum of digits of k)^{number of digits of k}. A38178