Properties of the Number 5523

Five Thousand Five Hundred Twenty-Three

Basics

Value: 5522 → 5523 → 5524

Parity: odd

Prime: No

Previous Prime: 5521

Next Prime: 5527

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 263

Divisors: 1, 3, 7, 21, 263, 789, 1841, 5523

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010110010011

Octal: 12623

Duodecimal: 3243

Hexadecimal: 1593

Square: 30503529

Square Root: 74.31688906298487

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

Generalized 26-gonal (or icosihexagonal) numbers: m*(12·m - 11) with m = 0, +1, -1, +2, -2, +3, -3, ... A316724

Triangle [1,1,1,0,0,0,...] δ [1,0,0,0,...] with Deléham δ defined in A084938. A147703

Numbers k giving rise to prime quadruples (30k+11, 30k+13, 30k+17, 30k+19). A14561

Number of partitions of n of the form a₁*b₁² + a₂*b₂² + ...; number of semisimple rings with pⁿ elements for any prime p. A4101

a(1) = 4; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A74341

a(n) = (3·n*F(2n-1) + (3-n)*F(2n))/5 where F() = Fibonacci numbers A000045. A59502

Positive numbers whose product of digits is 10 times their sum. A62043

T(n,k) = Number of (n+1) X (k+1) 0..2 arrays x(i,j) with row sums ∑_j=1..k+1 x(i,j) nondecreasing, and column sums ∑_i=1..n+1 i·x(i,j) nondecreasing. A233117

The array in A059502 read by antidiagonals in 'up' direction. A59503

Number of n-step three-sided prudent self-avoiding walks ending on the top side of their box. A191824