Properties of the Number 70035

Seventy Thousand Thirty-Five

Basics

Value: 70034 → 70035 → 70036

Parity: odd

Prime: No

Previous Prime: 70019

Next Prime: 70039

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 7 × 23 × 29

Divisors: 1, 3, 5, 7, 15, 21, 23, 29, 35, 69

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001000110010011

Octal: 210623

Duodecimal: 34643

Hexadecimal: 11193

Square: 4904901225

Square Root: 264.64126662332916

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 of partitions p of n such that (maximal multiplicity over the parts of p) = number of 1s in p. A241131

4-Stirling numbers of the second kind. A143496

Expansion of 1/((1-4x)(1-5x)(1-6x)). A16103

Numbers that begin a run of 3 consecutive odd valued terms in A360519. A361112

Square array A(n, k) = ((k+2)ⁿ⁺² - 2 * (k+1)ⁿ⁺² + kⁿ⁺²)/2 for k, n >= 0 read by ascending antidiagonals. A372118

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 1, 1), (0, 1, 1), (1, 0, -1)}. A148371

Products of 5 distinct primes a,b,c,d,e, such that a+b+c+d+e are prime numbers. A178782

Lexicographically earliest sequence of distinct positive terms such that, for any n>0, n·a(n) has at least 5 distinct prime factors. A285744

Exponents of 2 when A068496(n) is also a power of 2. A70035

G.f. A(x) = lim_n->infinity F(n), where F(0) = 1, F(n) = ( F(n-1)ⁿ + (n·x)ⁿ )^1/n for n = 1,2,3,... A351917