Properties of the Number 5955

Five Thousand Nine Hundred Fifty-Five

Basics

Value: 5954 → 5955 → 5956

Parity: odd

Prime: No

Previous Prime: 5953

Next Prime: 5981

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 397

Divisors: 1, 3, 5, 15, 397, 1191, 1985, 5955

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101000011

Octal: 13503

Duodecimal: 3543

Hexadecimal: 1743

Square: 35462025

Square Root: 77.1686464828819

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

Number of compositions of n that avoid the pattern 23-1. A189076

Rectangular table, read by antidiagonals, such that the g.f. of row n, R_n(y), satisfies: R_n(y) = [ ∑_k>=0 y^k * R_n·k(y) ]ⁿ for n>=0, with R₀(y)=1. A124550

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186482

Numbers k such that 4·k-1, 8·k-1 and 16·k-1 are all primes. A101790

Let P1>=3, P2, P3 be consecutive primes, with P3-P2=2. a(n)=(P2+P3)/12 when P2-P1 sets a record. A329158

G.f. A(x) satisfies -1/x²⁹ = ∑_n=-oo..+oo A(x)ⁿ * xⁿ * (1 - xⁿ)ⁿ⁺¹⁰. A384825

Numbers k for which 2·k-1, 4·k-1, 8·k-1 and 16·k-1 are primes. A124494

Row 3 of table A124550; also equals the self-convolution cube of A124563, which is row 3 of table A124560. A124553

Sum of the prime parts in the partitions of n into 5 parts. A309466

Numbers that are the sum of ten fourth powers in exactly six ways. A345858