Properties of the Number 51623

Fifty-One Thousand Six Hundred Twenty-Three

Basics

Value: 51622 → 51623 → 51624

Parity: odd

Prime: No

Previous Prime: 51613

Next Prime: 51631

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 11 × 13 × 19 ²

Divisors: 1, 11, 13, 19, 143, 209, 247, 361, 2717, 3971

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100100110100111

Octal: 144647

Duodecimal: 25A5B

Hexadecimal: c9a7

Square: 2664934129

Square Root: 227.20695411892657

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

Let M denote the 6 X 6 matrix = row by row /1,1,1,1,1,1/1,1,1,1,1,0/1,1,1,1,0,0/1,1,1,0,0,0/1,1,0,0,0,0/1,0,0,0,0,0/ and A(n) the vector (x(n),y(n),z(n),t(n),u(n),v(n)) = Mⁿ*A where A is the vector (1,1,1,1,1,1); then a(n) = u(n). A70778

Number of parts in all partitions of 2n into parts with multiplicity <= n. A364245

Numbers k such that σ(k-3) + σ(k+3) = σ(2·k). A67129

Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite RUT = RUB-10 R4[B4Si32O72] starting from a T4 atom. A19231

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, 1, 0), (1, 0, 1), (1, 1, -1), (1, 1, 0)}. A150754

a(n) = ∑_{x=1+floor(sqrt(n))..floor(sqrt(2n))} (x² - n). A51623