Properties of the Number 29645

Twenty-Nine Thousand Six Hundred Forty-Five

Basics

Value: 29644 → 29645 → 29646

Parity: odd

Prime: No

Previous Prime: 29641

Next Prime: 29663

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 7 ² × 11 ²

Divisors: 1, 5, 7, 11, 35, 49, 55, 77, 121, 245

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001111001101

Octal: 71715

Duodecimal: 151A5

Hexadecimal: 73cd

Square: 878826025

Square Root: 172.1772342674838

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

Prime factorization representation of Stern polynomials: a(0) = 1, a(1) = 2, a(2n) = A003961(a(n)), a(2n+1) = a(n)*a(n+1). A260443

a(n) = n*(n + 1)*(n + 2)*(3·n + 17)/24. A241765

Heinz numbers of integer partitions such that the difference between the length of the minimal square containing and the maximal square contained in the Young diagram is 1. A325179

Numerator of Product{prime(k)²/(prime(k)² - 1) | 0<k<=n}, Denominator: A072045. A72044

Triangular array read by rows: T(n,1) = T(n,n) = 1, T(n,k) = 3·T(n-1,k-1) + 2·T(n-1,k). A119725

Expansion of x*(1+8·x)/((1-8·x)*(1+11·x+64·x²)). A112259

Wiener index of a benzenoid consisting of a double-step spiral chain of n hexagons (n>=2, s=21; see the Gutman et al. reference). A193397

Even bisection of A260443 (the odd terms): a(n) = A260443(2·n). A277323

G.f.: A(x) = exp( ∑_n>=1 5·5^A112765(n) * xⁿ/n ), where A112765 is the exponent of the highest power of 5 dividing n. A195760

Numbers k whose smallest prime factor index is equal to the number of distinct prime factors of k and whose largest prime factor index is equal to the number of prime factors of k counted with multiplicity. A393102