Properties of the Number 75991

Seventy-Five Thousand Nine Hundred Ninety-One

Basics

Value: 75990 → 75991 → 75992

Parity: odd

Prime: Yes

Previous Prime: 75989

Next Prime: 75997

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 75991

Divisors: 1, 75991

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010100011010111

Octal: 224327

Duodecimal: 37B87

Hexadecimal: 128d7

Square: 5774632081

Square Root: 275.66465134289524

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

Beginning with 3, least prime such that concatenation of first n terms and its digit reversal both are primes. A113584

Prime numbers p of the form 10k+1 for which the pentanacci quintic polynomial x⁵-x⁴-x³-x²-x-1 modulus p is factorizable into five binomials. A135843

Solutions to A096509[x]=7; number of prime-powers [including primes] in the neighborhood of·with Ceiling[Log[x]] radius equals 7. A96518

Primes that do not divide any term of the Lucas 5-step sequence A074048. A106301

Primes p such that p + 10ⁱ are prime for i from 1 to 5. A387703

a(n) is the smallest number·such that the number of prime powers (including primes, excluding 1), in the neighborhood of·with radius ceiling(log(x)), equals n. A96510

Primes p such that the polynomial x⁷ - 7·x + 3 (mod p) is the product of seven linear factors. A358147

Numbers which can be expressed as an ordered sum of 3 squares in 9 or more different ways. A294714

Indices where record values of A075989 occur. A75991