Properties of the Number 70155

Seventy Thousand One Hundred Fifty-Five

Basics

Value: 70154 → 70155 → 70156

Parity: odd

Prime: No

Previous Prime: 70141

Next Prime: 70157

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 1559

Divisors: 1, 3, 5, 9, 15, 45, 1559, 4677, 7795, 14031

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001001000001011

Octal: 211013

Duodecimal: 34723

Hexadecimal: 1120b

Square: 4921724025

Square Root: 264.867891598812

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 ascent sequences of length n with exactly k flat steps; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A242153

Numbers k such that 5^k - 4 is prime. A59613

Number of ascent sequences of length n with exactly one flat step. A242154

a(1) = a(2) = a(3) = 1; for n > 3, a(n) = ceiling((a(n-1) + a(n-2) + a(n-3))/2). A258875

Numbers k such that k-1, k+1 and k²+1 are prime numbers. A70155

G.f. satisfies: a(2·n) equals coefficient of xⁿ in A(x)ⁿ⁺¹ and a(2·n+1) equals coefficient of xⁿ⁺¹ in A(x)ⁿ⁺¹, for n>=0, with a(0)=1. A94600

Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s. A297804