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Properties of the Number 15557

Fifteen Thousand Five Hundred Fifty-Seven

Basics

Value: 15556 → 15557 → 15558

Parity: odd

Prime: No

Previous Prime: 15551

Next Prime: 15559

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 47 × 331

Divisors: 1, 47, 331, 15557

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11110011000101

Octal: 36305

Duodecimal: 9005

Hexadecimal: 3cc5

Square: 242020249

Square Root: 124.72770341828635

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

Take an n X n square grid of points in the plane; a(n) = number of ways to divide the points into two sets using a straight line. A114043
T(n,k)=Number of length n+3 0..k arrays with no four elements in a row with pattern abba (with a≠b) and new values 0..k introduced in 0..k order. A243389
T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 2 or 4 1s. A295379
Numerator of ∑k=1..n k4 / ∏k=1..n k4. A181426
Expansion of 1/(1 - ∑k>=1 xprime(k)/(1 - xprime(k))). A300671
Number of length n+3 0..2 arrays with no four elements in a row with pattern abba (with a≠b) and new values 0..2 introduced in 0..2 order. A243383
Number of n X 3 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 2 or 4 1s. A295374
Number of nX7 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 2 or 4 1s. A295378
Numbers with all digits odd whose squares have only one odd digit. A343727
a(1) = 1 and thereafter a(n) = a(n-1) + j(n-1) where j(1) = 1 and then j(n) = j(n-1)-1 if a(n) is composite or j(n) = 2·j(n-1) if a(n) is prime. A382671