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Properties of the Number 13634

Thirteen Thousand Six Hundred Thirty-Four

Basics

Value: 13633 → 13634 → 13635

Parity: even

Prime: No

Previous Prime: 13633

Next Prime: 13649

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 17 × 401

Divisors: 1, 2, 17, 34, 401, 802, 6817, 13634

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010101000010

Octal: 32502

Duodecimal: 7A82

Hexadecimal: 3542

Square: 185885956

Square Root: 116.76472069936193

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

Numbers that are the sum of 4 nonzero 8th powers. A3382
Numbers k such that iphi(k) = iphi(k+1), where iphi(k) is an infinitary analog to the Euler totient function (A091732). A326403
a(n) = 13·n2 - 16·n + 5. A202141
T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..3 nXk array. A221590
Number of binary words of length n such that in every prefix and in every suffix the number of 0's and the number of 1's differ by at most two. A306293
G.f.: ∏m>0 (1 + xm + 2!*x2·m + 3!*x3·m + 4!*x4·m). A289486
Number of integer partitions of 2n with exactly n distinct sums of nonempty submultisets. A365660
Coefficients in the expansion of ([s] + [2s]x + [3s]x2 + ...)/([r] + [2r]x + [3r]x2 + ...); [ ] = floor, r = sqrt(3), s = sqrt(2). A279629
Numbers that are the sum of at most 4 nonzero 8th powers. A4877
Triangle T(n, k) read by rows; given by [1, 1, 1, 1, 1, 1, 1, 1, ...] δ [1, 0, 2, 0, 2, 0, 3, 0, 2, 0, 4, 0, 2, 0, ...] (A000005 interspersed with 0's) where δ is Deléham's operator defined in A084938. A85853