Properties of the Number 71108

Seventy-One Thousand One Hundred Eight

Basics

Value: 71107 → 71108 → 71109

Parity: even

Prime: No

Previous Prime: 71089

Next Prime: 71119

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 29 × 613

Divisors: 1, 2, 4, 29, 58, 116, 613, 1226, 2452, 17777

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001010111000100

Octal: 212704

Duodecimal: 35198

Hexadecimal: 115c4

Square: 5056347664

Square Root: 266.66083326952986

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

Triangle, read by rows, where g.f.: A(x,y) = exp( ∑_n>=1 (2ⁿ + y)ⁿ * xⁿ/n ) is a power series in·and y with integer coefficients. A155810

Number of slanted n X 4 (i=1..n) X (j=i..4+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 3 neighbors with the same value. A165381

Number of unitary factorizations of Heinz numbers of integer partitions of n. Number of multiset partitions of integer partitions of n with pairwise disjoint blocks. A305106

CONTINUANT transform of {d(n)}, 1, 2, 2, 3, 2, 4, ... (A000005). A71108

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 8. A252347