Properties of the Number 5953

Five Thousand Nine Hundred Fifty-Three

Basics

Value: 5952 → 5953 → 5954

Parity: odd

Prime: Yes

Previous Prime: 5939

Next Prime: 5981

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5953

Divisors: 1, 5953

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1011101000001

Octal: 13501

Duodecimal: 3541

Hexadecimal: 1741

Square: 35438209

Square Root: 77.15568676384133

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

Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6·k*(k-1) + 1. A3154

Primes congruent to 1 mod 31. A142005

Least k such that the k-th maximal antirun of prime numbers > 3 has length n. Position of first appearance of n in A027833. The sequence ends if no such antirun exists. A373401

Primes p with q(p) + 1 also prime, where q(.) is the strict partition function (A000009). A234530

a(n) = (n³ - 7·n + 12)/6. A105163

Number of integer partitions of n such that the maximum is greater than or equal to twice the median. A361859

Primes p such that the multiplicative order of 2 modulo p is (p-1)/6. A1136

a(1) = 7; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A74343

a(n) = prime(n*(n+1)/2 + 1). A78721

a(n+6) = -a(n+5) + a(n+4) + 3a(n+3) + a(n+2) - a(n+1) - a(n). a(n) = sign(n) if abs(n)<=3. A1945