Properties of the Number 44929

Forty-Four Thousand Nine Hundred Twenty-Nine

Basics

Value: 44928 → 44929 → 44930

Parity: odd

Prime: No

Previous Prime: 44927

Next Prime: 44939

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 179 × 251

Divisors: 1, 179, 251, 44929

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111110000001

Octal: 127601

Duodecimal: 22001

Hexadecimal: af81

Square: 2018615041

Square Root: 211.9646196892302

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) = ∑_j=k..n binomial(n, j)*E1(j, j-k), where E1 are the Eulerian numbers A173018. Triangle read by rows, T(n, k) for 0 <= k <= n. A46802

Numbers n such that m=(n²+1)/2, p=(m²+1)/2 and q=(p²+1)/2 are all prime. A188546

G.f.: ∑_k>=0 x^k*(k+1) * ∏_j=1..k ((1 + x^j)/(1 - x^j))². A376852

a(n) = 78·n² + 1. A158769

a(n) is the n-th J₁₀-prime (Josephus₁₀ prime). A163790

The number of partitions of the set [n] where each element can be colored 1 or 2 avoiding the patterns 1¹¹^1 and 1²²^1 in the pattern sense. A208275

Triangle read by rows, T(n,k) = ∑_j=0..n (-1)^n-j*C(-j-1,-n-1)*E1(j,k), E1 the Eulerian numbers A173018, for n >= 0 and 0 <= k <= n. A272098

The n-th term of n-th inverse binomial transform of this sequence is 1 for n>=0. A138911

a(n)=so-se, where so(se)=sum of odd(even) base 7 run lengths of n. A44929