Properties of the Number 89657

Eighty-Nine Thousand Six Hundred Fifty-Seven

Basics

Value: 89656 → 89657 → 89658

Parity: odd

Prime: Yes

Previous Prime: 89653

Next Prime: 89659

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 89657

Divisors: 1, 89657

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101111000111001

Octal: 257071

Duodecimal: 43A75

Hexadecimal: 15e39

Square: 8038377649

Square Root: 299.42778762165676

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

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of some of the consecutive step patterns UUD, UDU, DUU (U=up, D=down); triangle T(n,k), n>=0, 0<=k<=max(0,n-3), read by rows. A231384

Number of permutations of [n] with exactly two (possibly overlapping) occurrences of some of the consecutive step patterns UUD, UDU, DUU (U=up, D=down). A228408

Perimeter-magic hexagons of order 3 with magic sum n. A380964

Primes p such that p+2, 3·p+2 and 3·p+8 are also primes. A278138

Number of 2 X 2 nonsingular 0..n matrices with a(1,1) <= a(1,2) <= a(2,1) <= a(2,2). A183763

Let g[n]=Floor[Prime[n]-n)/((n-PrimePi[n])], then a(n) = Floor[(Prime[n]+g[n]*PrimePi[n])/(1+g[n]). A89657

Primes with record values of corresponding Fortunate numbers (A005235). A317479