Properties of the Number 77417

Seventy-Seven Thousand Four Hundred Seventeen

Basics

Value: 77416 → 77417 → 77418

Parity: odd

Prime: Yes

Previous Prime: 77383

Next Prime: 77419

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 77417

Divisors: 1, 77417

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111001101001

Octal: 227151

Duodecimal: 38975

Hexadecimal: 12e69

Square: 5993391889

Square Root: 278.23910580649874

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

The first of three consecutive primes the sum of which is equal to the sum of three consecutive hexagonal numbers. A298273

Primes having Fibonacci prime gaps to both neighbor primes. A353135

Number of decimal digits in A001042. A64236

Lesser of twin primes p1 such that p1·p2+-6 are prime numbers. A174955

Primes p such that p+2, n*(p+2)+6 and p*(p+2)+8 are also prime. A130735

Lesser of twin primes p1 such that p1·p2-4 and p1·p2-6 are twin prime numbers. A174957

Chebyshev T-sequence with Diophantine property. A77417

G.f. satisfies: A(x,y) = 1 + ∑_n>=1 xⁿ*y·A(x,y)ⁿ/(1 - y·A(x,y)^2·n), where A(x,y) = 1 + ∑_n>=1,k>=1 T(n,k)*xⁿ*y^k; here the coefficients T(n,k) form a square array and are read by antidiagonals. A192404