Properties of the Number 41552

Forty-One Thousand Five Hundred Fifty-Two

Basics

Value: 41551 → 41552 → 41553

Parity: even

Prime: No

Previous Prime: 41549

Next Prime: 41579

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 7 ² × 53

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 49, 53

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010001001010000

Octal: 121120

Duodecimal: 20068

Hexadecimal: a250

Square: 1726568704

Square Root: 203.8430768998545

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

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0011 or 0111. A259250

G.f.: ∑_n>=0 xⁿ * (1 + xⁿ)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺¹. A323557

Number of partitions of n with distinct numbers of odd and even parts. A171967

Irregular triangle read by rows: T(n,k) is the number of n-permutations whose second-shortest cycle has length exactly k; n >= 0, 0 <= k <= max(0,n-1). A349980

a(n) = (2·n - 3)n². A15238

Index in A092243 where -n first appears. A269738

a(n) = least natural number k such that f(k) begins a maximal zigzag of length n in the prime gaps function f(x) = p(x+1)-p(x), where p(x) denotes the x-th prime. (Cf. A066485.) A66918

Number of (n+1)X(6+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0011 or 0111. A259248

Record-setting differences between adjacent elements of the Mian-Chowla sequence variant A058335. A80931

Number of (n+1) X (3+1) 0..1 arrays with each 2 X 2 subblock having clockwise pattern 0000 0011 or 0111. A259245