Properties of the Number 46136

Forty-Six Thousand One Hundred Thirty-Six

Basics

Value: 46135 → 46136 → 46137

Parity: even

Prime: No

Previous Prime: 46133

Next Prime: 46141

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 73 × 79

Divisors: 1, 2, 4, 8, 73, 79, 146, 158, 292, 316

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011010000111000

Octal: 132070

Duodecimal: 22848

Hexadecimal: b438

Square: 2128530496

Square Root: 214.79292353334176

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

Expansion of ∏_k>=1 1/(1-x^3·k-2)^k. A262877

Numbers k such that prime(k) + prime(k+1) + prime(k+2) is a square. A76305

Number of (w,x,y,z) with all terms in {0,...,n} and (least gapsize)=2. A212895

Number of permutations of length n which avoid the patterns 231, 1423, 3214. A116717

Numbers m such that m, m' and m'' are in arithmetic progression, where m' and m'' are the first and second arithmetic derivatives of m. A212409

Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..3 array extended with zeros and convolved with 1,-2,1. A222148

Primes p such that p, p+4 and p+10 are primes. A46136

Largest prime factor of n*(n+1)*(n+2)*(n+3). A190136

Triangle read by rows: T(n,k) is the number of permutations p of [n] such that the number of inversions of the word formed by the leading entries of the blocks of p is k. A block of a permutation is a maximal sequence of consecutive integers which appear in consecutive positions. For example, the permutation 5412367 has 4 blocks: 5, 4, 123, and 67; their leading entries are 5,4,1, and 6 and the word 5416 has 3 inversions. A186372