Properties of the Number 4995

Four Thousand Nine Hundred Ninety-Five

Basics

Value: 4994 → 4995 → 4996

Parity: odd

Prime: No

Previous Prime: 4993

Next Prime: 4999

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 37

Divisors: 1, 3, 5, 9, 15, 27, 37, 45, 111, 135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 1001110000011

Octal: 11603

Duodecimal: 2A83

Hexadecimal: 1383

Square: 24950025

Square Root: 70.67531393633848

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

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

Number of non-condensed integer partitions of n, or partitions where it is not possible to choose a different divisor of each part. A370320

Number of integer partitions of n containing no prime indices of the parts. A324756

Values of n such that L(9) and N(9) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A226929

Numbers k such that the centered cube number k³ + (k+1)³ is equal to at least one other sum of two cubes. A352134

Array read by antidiagonals: T(n,k) is the number of k-colorings of an n X n grid, up to rotational symmetry. A343095

Smallest multiple of 5 with digit sum n. A69534

a(n) = n*(11·n + 3)/2. A254963

T(n,k)=Rolling icosahedron face footprints: number of nXk 0..19 arrays starting with 0 where 0..19 label faces of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across an icosahedral edge. A223282

Number of inequivalent 3 X 3 matrices with entries in {1,2,3,..,n} up to rotations. A282613