Properties of the Number 4075

Four Thousand Seventy-Five

Basics

Value: 4074 → 4075 → 4076

Parity: odd

Prime: No

Previous Prime: 4073

Next Prime: 4079

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 ² × 163

Divisors: 1, 5, 25, 163, 815, 4075

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111101011

Octal: 7753

Duodecimal: 2437

Hexadecimal: feb

Square: 16605625

Square Root: 63.835726674018524

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 G(n,k) of set partitions of {1,...,n} into sets of size at most k; triangle G(n,k), n>=0, 0<=k<=n, read by rows. A229223

Number of partitions of n such that smaller parts do not occur more frequently than greater parts. A171979

Total number of smallest parts in all partitions of n that do not contain 1 as a part. A195820

Let f(k) = exp(π*sqrt(k)); sequence gives numbers k such that ceiling(f(k)) - f(k) < 1/10³. A127022

Let f(n) = exp(π*sqrt(n)); sequence gives numbers n such that ceiling(f(n)) - f(n) < 1/10⁵. A127024

Smaller of two consecutive numbers of the form p²*q where p and q are distinct primes. A74172

Let f(n) = exp(π*sqrt(n)); sequence gives numbers n such that ceiling(f(n)) - f(n) < 1/10⁴. A127023

Numbers k such that k and k+1 both have 6 divisors. A49103

The partition function G(n,5). A110038

T(n,k) = Number of (n+2) X (k+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 1 and no column sum 1. A255101