Properties of the Number 35436

Thirty-Five Thousand Four Hundred Thirty-Six

Basics

Value: 35435 → 35436 → 35437

Parity: even

Prime: No

Previous Prime: 35423

Next Prime: 35437

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 2953

Divisors: 1, 2, 3, 4, 6, 12, 2953, 5906, 8859, 11812

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101001101100

Octal: 105154

Duodecimal: 18610

Hexadecimal: 8a6c

Square: 1255710096

Square Root: 188.2445218326419

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

Coordination sequence for 6-dimensional cubic lattice. A8414

Number of points of L1 norm 9 in cubic lattice Zⁿ. A35603

Combined weight, as defined at A244094, of the distinct-parts partitions of n. A234924

a(n) is the smallest number k such that A073813(k) = prime(n). A73814

Square array A(n,r), the number of neighbors at a sharp Manhattan distance r in a finite n-hypercube lattice, read by upwards antidiagonals; A(n,r) = ∑_{k=0..min(n,r)} binomial(r-1,k-1)*binomial(n,k)* 2^k. A266213

Array of coordination sequences for cubic lattices (rows) and of numbers of L1 forms in cubic lattices (columns) (array read by antidiagonals). A119800

Number of partitions of n into parts 7k+3 or 7k+5. A35436