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Properties of the Number 15801

Fifteen Thousand Eight Hundred One

Basics

Value: 15800 → 15801 → 15802

Parity: odd

Prime: No

Previous Prime: 15797

Next Prime: 15803

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 23 × 229

Divisors: 1, 3, 23, 69, 229, 687, 5267, 15801

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11110110111001

Octal: 36671

Duodecimal: 9189

Hexadecimal: 3db9

Square: 249671601

Square Root: 125.70202862324857

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

Main diagonal of array A255551. A255550
Total number of 1's in the binary expansion of parts in all partitions of n into distinct parts. A347060
Centered pentagonal numbers which are products of three distinct primes. A364610
Number of partitions of n into lower Wythoff numbers (A000201). A192184
Powers of the fifth root of 9 rounded up. A18140
a(n) = A077741(n)/n. A77742
Powers of fifth root of 3 rounded up. A18122
Numbers whose base-5 representation contains exactly three 0's and three 1's. A45172
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), (-1, 0, 1), (1, 0, 0), (1, 1, -1), (1, 1, 0)}. A150080
Let Fn(k) be the k-th term of the n-th Farey sequence and define sn = ∑i=1..m |Fn(i) - i/m| where m is the length of the n-th Farey sequence. Then a(n) is the least k such that sk >= n. A352614