Properties of the Number 3915

Three Thousand Nine Hundred Fifteen

Basics

Value: 3914 → 3915 → 3916

Parity: odd

Prime: No

Previous Prime: 3911

Next Prime: 3917

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 29

Divisors: 1, 3, 5, 9, 15, 27, 29, 45, 87, 135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 111101001011

Octal: 7513

Duodecimal: 2323

Hexadecimal: f4b

Square: 15327225

Square Root: 62.56996084384263

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

Triangle T(n,k), 0 <= k <= n, read by rows, defined by: T(0,0)=1, T(n,k)=0 if n < k, T(n,k) = T(n-1,k-1) + T(n-1,k) + T(n-1,k+1). A64189

Motzkin triangle, T, read by rows; T(0,0) = T(1,0) = T(1,1) = 1; for n >= 2, T(n,0) = 1, T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k = 1,2,...,n-1 and T(n,n) = T(n-1,n-2) + T(n-1,n-1). A26300

Number of partitions of n in which the least part is odd. A26804

a(n) = n*(2·n-3). A14107

Multiples of 15 containing a 15 in their decimal representation. A121035

Generalized 25-gonal (or icosipentagonal) numbers: m*(23·m - 21)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303304

9 times the triangular numbers A000217. A27468

Number of integer partitions of n whose length cannot be written as a nonnegative linear combination of the distinct parts. A367219

Numbers k such that k and k+1 have the same sum of non-unitary divisors (A048146), for A048146(k) > 0. A64115

Irregular triangle read by rows where T(n,k) is the number of integer compositions of n with k excedances (parts above the diagonal), all zeros removed. A352524