Properties of the Number 19155

Nineteen Thousand One Hundred Fifty-Five

Basics

Value: 19154 → 19155 → 19156

Parity: odd

Prime: No

Previous Prime: 19141

Next Prime: 19157

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 1277

Divisors: 1, 3, 5, 15, 1277, 3831, 6385, 19155

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101011010011

Octal: 45323

Duodecimal: B103

Hexadecimal: 4ad3

Square: 366914025

Square Root: 138.40158958624716

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 the k-th run-length A110969(k) of the sequence of non-prime-powers (A024619) is different from all prior run-lengths. A373670

Number of ways to write n as an ordered sum of 10 nonzero triangular numbers. A340955

Numbers that are the sum of six fourth powers in four or more ways. A345561

Numbers that are the sum of six fourth powers in exactly four ways. A345816

a(n) = coefficient of xⁿ in ∑_n>=0 xⁿ/(1 - x·C(x)ⁿ), where C(x) = 1/(1 - x·C(x)) is a g.f. of the Catalan numbers (A000108). A357220

a(n) = 13·n² + 10·n + 3. A387659

Number of permutations of length n which avoid the patterns 1234, 3421, 4231. A116803

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, 0), (0, 0, 1), (0, 1, -1), (1, 0, -1)}. A148562

Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MEP = Melanophlogite [Si46O92].qR starting with a T3 atom. A19155

Least numbers k that can be expressed as k = a' + b', with k = a + b, in exactly n ways, where a' and b' are the arithmetic derivatives of a and b. A292362