Properties of the Number 15605

Fifteen Thousand Six Hundred Five

Basics

Value: 15604 → 15605 → 15606

Parity: odd

Prime: No

Previous Prime: 15601

Next Prime: 15607

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 3121

Divisors: 1, 5, 3121, 15605

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110011110101

Octal: 36365

Duodecimal: 9045

Hexadecimal: 3cf5

Square: 243516025

Square Root: 124.91997438360288

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

Values of n such that L(20) and N(20) 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. A227523

Generalized Catalan numbers: a(n+1) = a(n) + ∑_k=2..n-1 a(k)*a(n-1-k). A4149

Number of partitions of n containing a clique of size 2. A183559

Numbers k(n) used for Markoff forms determining quadratic irrationals with purely periodic continued fractions. A305311

Largest terms a(n) forming a self-convolution 5th power of an integer sequence (A132840) such that: a(n) <= 5·a(n-1) for n>0 with a(0)=1. A132839

a(n) is the smallest number that is the sum of both 2n-1 and 2n+1 consecutive primes. A213174

Record values in A227617. A227632

Index of the smallest prime where n consecutive trailing digits of the index written in binary match n consecutive trailing digits in the prime when written in binary. A245522

a(n) = 54·n² - 1. A158656

Number of nondecreasing arrangements of 6 numbers x(i) in -(n+4)..(n+4) with the sum of sign(x(i))*2^|x(i)| zero. A187990