Properties of the Number 13970

Thirteen Thousand Nine Hundred Seventy

Basics

Value: 13969 → 13970 → 13971

Parity: even

Prime: No

Previous Prime: 13967

Next Prime: 13997

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 5 × 11 × 127

Divisors: 1, 2, 5, 10, 11, 22, 55, 110, 127, 254

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11011010010010

Octal: 33222

Duodecimal: 8102

Hexadecimal: 3692

Square: 195160900

Square Root: 118.19475453673907

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 length n+4 0..k arrays with every five consecutive terms having two times the sum of some three elements equal to three times the sum of the remaining two. A248987

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A305175

Constant term in the reduction by (x² -> x + 1) of the polynomial p(n,x) given in Comments. A192878

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A316763

a(n) = 997·n + 1009. A100776

Number of new terms added at n-th generation of A306211. A323475

Expansion of ∏_k>=1 (1 + x^k) * (1 + x^2·k) * (1 + x^3·k) * (1 + x^4·k). A327046

Number of nX4 0..1 arrays with every element unequal to 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A305171

a(n) = ∑_{k=0..floor(n/3)} binomial(n,k) * binomial(4·k,n-3·k). A389152

Write the numbers from 1 to n² in a spiraling square; a(n) is the total of the sums of the two diagonals. A59924