Properties of the Number 72661

Seventy-Two Thousand Six Hundred Sixty-One

Basics

Value: 72660 → 72661 → 72662

Parity: odd

Prime: Yes

Previous Prime: 72649

Next Prime: 72671

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 72661

Divisors: 1, 72661

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101111010101

Octal: 215725

Duodecimal: 36071

Hexadecimal: 11bd5

Square: 5279620921

Square Root: 269.5570440556136

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

Primes of form n² + 28561. A256841

Primes p with P(p-1) also prime, where P(.) is the partition function (A000041). A234569

Smallest prime p such that first n primes (p₁=2, ..., p_n) are 7th power residues mod p. A2227

a(n) = f(n,n) where f(m,n) = max(m,n) if m < 2 or n < 2; f(m,n) = f(m-1,n-1) + f(m-1,n-2) + f(m-2,n-1) otherwise. Diagonal of A342859. A342600

a(n) = n-th smallest prime congruent to 1 modulo prime(n). A234387

n-th prime p such that (p+n)²+n is prime but (p+j)²+j is not prime for all 0<j<n. A238663

Composition of the A059905 and A048679, i.e., a(n) = A059905(A048679(n)). A72661