Properties of the Number 24115

Twenty-Four Thousand One Hundred Fifteen

Basics

Value: 24114 → 24115 → 24116

Parity: odd

Prime: No

Previous Prime: 24113

Next Prime: 24121

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 7 × 13 × 53

Divisors: 1, 5, 7, 13, 35, 53, 65, 91, 265, 371

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111000110011

Octal: 57063

Duodecimal: 11B57

Hexadecimal: 5e33

Square: 581533225

Square Root: 155.2900511945308

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 nXk 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it, modulo 3. A238812

Number of partitions of 5n such that cn(1,5) = cn(4,5) < cn(0,5) = cn(2,5) = cn(3,5). A36892

a(n) = ∑_d∣n σ(d)³. A344044

Expansion of e.g.f. (1/x) * Series_Reversion( x·exp(-arcsin(x)) ). A385426

Indices of prime Lucas 5-step numbers, A074048. A105764

G.f. A(x) = ∑_n>=0 a(n)*xⁿ satisfies: [∑_n>=0 xⁿ/(1 - xⁿ⁺¹)]³ = ∑_n>=0 a(n)*xⁿ/(1 - xⁿ⁺¹)³. A341374

Terms of A349937 that are not divisible by 3: numbers k > 1 not divisible by 2 or 3 such that A309906(k-1) < A309906(k) > A309906(k+1). A349941

An alternating 2-based sum from prime(n) up to the base of the n-th Mersenne prime. A162848

Number of n X 4 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the sum of elements above it, modulo 3. A238808

Number of compositions of n such that the set of absolute differences is a subset of the set of parts. A368557