Properties of the Number 35124

Thirty-Five Thousand One Hundred Twenty-Four

Basics

Value: 35123 → 35124 → 35125

Parity: even

Prime: No

Previous Prime: 35117

Next Prime: 35129

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 2927

Divisors: 1, 2, 3, 4, 6, 12, 2927, 5854, 8781, 11708

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100100110100

Octal: 104464

Duodecimal: 183B0

Hexadecimal: 8934

Square: 1233695376

Square Root: 187.41398026828202

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

Numbers m such that the factorizations of m..m+4 have the same number of primes (including multiplicities). A45941

Square array A(n,k) = A326127(A388981(n, k)), read by descending antidiagonals. A388987

Decimal encoding T(n,k) of the k-th non-averaging permutation of [n]; triangle T(n,k), n >= 0, k = 1..A003407(n), read by rows. A292523

Numbers k such that k, k+1, k+2 and k+3 are products of 4 primes. A124728

List of André permutations of the second kind. A278983

Numerator of Hermite(n, 6/7). A159013

Number of permutations avoiding the consecutive pattern 35124. A202234

Number of permutations in S_n that avoid the pattern 35124. A256198

Decimal representation of permutations of lengths 1, 2, 3, ... A306428

Let b(n) denote the Lucas numbers, A000032: a(n) = Sum{k=0..n}C(n,k)²*(n-k)!*b(k). A105217