Properties of the Number 76967

Seventy-Six Thousand Nine Hundred Sixty-Seven

Basics

Value: 76966 → 76967 → 76968

Parity: odd

Prime: No

Previous Prime: 76963

Next Prime: 76991

Digit Sum: 35

Digital Root: 8

Palindrome: Yes

Factorization: 11 × 6997

Divisors: 1, 11, 6997, 76967

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010110010100111

Octal: 226247

Duodecimal: 3865B

Hexadecimal: 12ca7

Square: 5923919089

Square Root: 277.4292702654138

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

Let P1>=3, P2, P3 be consecutive primes, with P3-P2=2. a(n)=(P2+P3)/12 when P2-P1 sets a record. A329158

Let P1 >= 3, P2, P3 be consecutive primes, with P3 - P2 = 2. a(n) = (P2 + P3)/12 for the first occurrence of (P2 - P1)/2 = n. A329251

a(n) = ∑_{k=0..floor(n/2)} binomial(n+k-1,k) * binomial(3·k,n-2·k). A389293

6·a(n) - 1 is the least prime p of a pair of twin primes p, p + 2, for which the prime gap immediately below p achieves the size 2·A007494(n). A337435

Smallest palindromic multiple of 11, sum of whose digits at some stage is equal to n. A83516

a(1) = 1, a(n+1) is the smallest square greater than the n-th partial sum. A76967