Properties of the Number 34636

Thirty-Four Thousand Six Hundred Thirty-Six

Basics

Value: 34635 → 34636 → 34637

Parity: even

Prime: No

Previous Prime: 34631

Next Prime: 34649

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 7 × 1237

Divisors: 1, 2, 4, 7, 14, 28, 1237, 2474, 4948, 8659

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011101001100

Octal: 103514

Duodecimal: 18064

Hexadecimal: 874c

Square: 1199652496

Square Root: 186.10749581894868

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

a(n) is the sum of products of terms in all partitions of n. A6906

G.f.: ∑_n>=0 xⁿ * (1 + xⁿ)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺¹. A323557

Number of non-isomorphic multiset partitions of weight n with at most 2 distinct vertices, or with at most 2 (not necessarily distinct) edges. A323655

a(n) = (n!/2)*Sum(1/k!, k=1..n-2). A38158

Super-4 Numbers (4·n⁴ contains substring '4444' in its decimal expansion). A32744

Number of permutations of 3 indistinguishable copies of 1,...,n such that the first and second copies of j are adjacent and there are exactly j-1 numbers between the second and the third copy of j. A321956

The number of walks of n steps on the hexagonal lattice that start at the origin and end at the non-adjacent vertex (2,0). A337906

G.f. satisfies: A(x) = (A(x²) + x)². A224272

a(n) is the smallest k such that A363533(k) = n, or -1 if no such k exists. A363536

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), (0, 0, -1), (0, 1, 0), (1, 0, 0)}. A149821