Properties of the Number 69612

Sixty-Nine Thousand Six Hundred Twelve

Basics

Value: 69611 → 69612 → 69613

Parity: even

Prime: No

Previous Prime: 69593

Next Prime: 69623

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5801

Divisors: 1, 2, 3, 4, 6, 12, 5801, 11602, 17403, 23204

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000111111101100

Octal: 207754

Duodecimal: 34350

Hexadecimal: 10fec

Square: 4845830544

Square Root: 263.84086112655103

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A203728

Number of (n+1)X3 0..2 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A203722

Number of (n+1)X8 0..2 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A203727

Four-column array read by rows: T(n,k) for k=0..3 is the k-th component of the vector obtained by multiplying the n-th power of the 4 X 4 matrix (1,1,1,1; 7,3,1,0; 12,2,0,0; 6,0,0,0) and the vector (1,1,1,1). A95797

a(n) is the period of the oscillating pattern formed by a diagonal line of 2·n cells in the Life-like cellular automaton B2e3ijkn4cz5/S236. A323382

a(1) = 19 (the smallest prime ending in a 9) and a(n+1) = smallest prime ending in a(n). A69612