Properties of the Number 24135

Twenty-Four Thousand One Hundred Thirty-Five

Basics

Value: 24134 → 24135 → 24136

Parity: odd

Prime: No

Previous Prime: 24133

Next Prime: 24137

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 1609

Divisors: 1, 3, 5, 15, 1609, 4827, 8045, 24135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101111001000111

Octal: 57107

Duodecimal: 11B73

Hexadecimal: 5e47

Square: 582498225

Square Root: 155.3544334739115

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

T(n,k)=Number of nondecreasing arrangements of n numbers x(i) in -(n+k-2)..(n+k-2) with the sum of sign(x(i))*x(i)² zero. A188002

a(n) = 3·2*1 - 6·5*4 + 9·8*7 - 12·11·10 + 15·14·13 - 18·17·16 + ... - (up to the n-th term). A319886

L.g.f.: ∑_n>=1 (xⁿ/n) / ∏_d∣n (1 - d·xⁿ)^d. A205489

Number of permutations in S_n avoiding {bar 2}413{bar 5} (i.e., every occurrence of 413 is contained in an occurrence of a 24135). A137551

Expansion of 1/∏_k>=1 (1 - x^k)^{valuation(k,4} + 1). A373295

Numbers k such that 7·2^k - 3 is prime. A58593

List of André permutations of the first kind. A278982

Expansion of 1/((1-x)(1-4x)(1-6x)(1-8x)). A21814

Positive numbers k such that k and 2·k are anagrams in base 6 (written in base 6). A23064

Array read by rows in which the n-th row contains the multiples of n in increasing order using all the digits of first n numbers. A78189