Properties of the Number 5645

Five Thousand Six Hundred Forty-Five

Basics

Value: 5644 → 5645 → 5646

Parity: odd

Prime: No

Previous Prime: 5641

Next Prime: 5647

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 1129

Divisors: 1, 5, 1129, 5645

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000001101

Octal: 13015

Duodecimal: 3325

Hexadecimal: 160d

Square: 31866025

Square Root: 75.13321502504735

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

Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 4.8.8 2D tiling (cf. A008576). A299259

Convolution of Fibonacci numbers 1,2,3,5,... with themselves. A4798

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one. A184081

Sum of the largest parts of the partitions of n into 9 parts. A326473

a(n) = 5·n² - 4·n + 1. A190816

a(n) = sum of all divisors of all positive integers <= prime(n). A244583

Triangle version of the array w(N,L) of the average number of round trips of length L on Laguerre graphs L_N. A201198

Numbers k such that 6k+1, 12k+1, 18k+1 and 36k+1 are all primes. A206024

G.f.: A(x) = ∑_n>=0 xⁿ / ∏_k=1..n (1-x^k)^k. A206100

Number T(n,k) of inequivalent n X n matrices using exactly k different symbols, where equivalence means permutations of rows or columns or the symbol set; triangle T(n,k), n>=0, 0<=k<=n², read by rows. A242106