Properties of the Number 5506

Five Thousand Five Hundred Six

Basics

Value: 5505 → 5506 → 5507

Parity: even

Prime: No

Previous Prime: 5503

Next Prime: 5507

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 2753

Divisors: 1, 2, 2753, 5506

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010110000010

Octal: 12602

Duodecimal: 322A

Hexadecimal: 1582

Square: 30316036

Square Root: 74.2024258363566

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 incomplete integer partitions of n, meaning not every number from 0 to n is the sum of some submultiset. A365924

Number of emergent parts in all partitions of n. A182699

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 6 as largest digit. A256633

Number of ways to split an integer partition of n into contiguous subsequences with strictly decreasing sums. A336135

Convolved with its aerated variant = A000041. A174065

a(n) = ∑_k=0..n T(n,k), T given by A026769. A26776

Numbers k that, when expressed in base 7 and then interpreted in base 10, give a multiple of k. A62944

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A234564

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101. A260980

Number of polyforms with n cells on the faces of a deltoidal icositetrahedron up to rotation. A383805