Properties of the Number 18965

Eighteen Thousand Nine Hundred Sixty-Five

Basics

Value: 18964 → 18965 → 18966

Parity: odd

Prime: No

Previous Prime: 18959

Next Prime: 18973

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 5 × 3793

Divisors: 1, 5, 3793, 18965

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100101000010101

Octal: 45025

Duodecimal: AB85

Hexadecimal: 4a15

Square: 359671225

Square Root: 137.71347065556077

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

Number of integer partitions of n containing all of their own nonzero first differences. A364674

Square array T(n,k), n >= 1, k >= 0, read by antidiagonals downwards, where T(n,k) = ∑_j=1..n j^k * binomial(floor(n/j)+1,2). A356124

Size of the Hilbert basis of the cone { x in Z+ⁿ : (a,x)=0 } where a=(-1,1,2,...,n-2,-(n-1)). A141347

Smallest m such that A065623(m) = n. A65624

Numbers n such that μ(n) + μ(n+1) + μ(n+2) + μ(n+3) + μ(n+4) + μ(n+5) + μ(n+6) = 6. A82967

a(0)=a(1)=1, a(n) = a(n-1) + a(a(n-2) mod n). A215525

Values of n such that L(18) and N(18) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227521

Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 17. A51982

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 0, -1), (0, 1, -1), (1, 0, 1)}. A148573

Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite AFS = MAPSO-46 starting with a T1 atom. A18965