Properties of the Number 4115

Four Thousand One Hundred Fifteen

Basics

Value: 4114 → 4115 → 4116

Parity: odd

Prime: No

Previous Prime: 4111

Next Prime: 4127

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 5 × 823

Divisors: 1, 5, 823, 4115

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000010011

Octal: 10023

Duodecimal: 246B

Hexadecimal: 1013

Square: 16933225

Square Root: 64.1482657598785

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

Number of necklaces of sets of beads containing a total of n beads. A8965

Number of 2's in all partitions of n. A24786

Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1); triangle T(n,k), n>=0, read by rows. A243752

Triangle read by rows giving number of arrangements of k dumbbells on 2 X n grid (n >= 0, k >= 0). A46741

Number of distinct possible reverse-alternating products of integer partitions of n. A347462

T(n,k)=Number of -k..k circular arrays x(0..n+1) of n+2 elements with zero sums of x(i) and x(i)*x((i+1) mod (n+2)). A202006

Numbers n such that n, n+2, n+4, n+6 are semiprimes. A92126

Expansion of exp( ∑_{n >= 1} A188458(n)*xⁿ/n ). A188514

Every suffix prime and no 0 digits in base 6 (written in base 6). A24781

A binomial recursion: a(n) = q(n) (see formula). A135148