Properties of the Number 5635

Five Thousand Six Hundred Thirty-Five

Basics

Value: 5634 → 5635 → 5636

Parity: odd

Prime: No

Previous Prime: 5623

Next Prime: 5639

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 7 ² × 23

Divisors: 1, 5, 7, 23, 35, 49, 115, 161, 245, 805

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000000011

Octal: 13003

Duodecimal: 3317

Hexadecimal: 1603

Square: 31753225

Square Root: 75.06663706334525

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

Triangle read by rows, Bell transform of Bell numbers. A264428

Second 11-gonal (or hendecagonal) numbers: a(n) = n*(9·n+7)/2. A62728

Number T(n,k) of permutations p of [n] such that in 0p the largest up-jump equals k and no down-jump is larger than 2; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A291680

Non-palindromic balanced numbers in base 16. A256080

Numbers n such that uphi(n) = uphi(n+1), where uphi(n) is the unitary totient function (A047994). A287055

a(n) is the conjectured highest power of n which has no four identical digits in succession. A216065

G.f. A(x,y) satisfies: x·y*A(x,y) = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1/2) * A(x,y)ⁿ, with coefficients T(n,k) of xⁿ*y^k in A(x,y) given as a triangle read by rows. A355360

Sum of the prime parts in the partitions of n into 7 parts. A309468

Numbers k such that iphi(k) = iphi(k+1), where iphi(k) is an infinitary analog to the Euler totient function (A091732). A326403

Numbers that are the sum of ten fourth powers in six or more ways. A345599