Properties of the Number 3955

Three Thousand Nine Hundred Fifty-Five

Basics

Value: 3954 → 3955 → 3956

Parity: odd

Prime: No

Previous Prime: 3947

Next Prime: 3967

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 7 × 113

Divisors: 1, 5, 7, 35, 113, 565, 791, 3955

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101110011

Octal: 7563

Duodecimal: 2357

Hexadecimal: f73

Square: 15642025

Square Root: 62.8887907341205

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 integer partitions of n with reverse-alternating sum < 0. A344608

Expansion of 1/(1 - x - x² + x⁴ - x⁶). A117791

Expansion of 1/(1-x*(1-3·x)). A106852

Sum of the smallest parts of the partitions of 4n into 4 parts. A238702

a() = 1,3,... [ A037257 ], differences = 2,... [ A037258 ] and 2nd differences [ A037259 ] are disjoint and monotonic; adjoin next free number to 2nd differences unless it would produce a duplicate in which case ignore. A37257

Number of unordered pairs of partitions of n (into distinct parts) with empty intersection. A108796

Number of integer partitions of 2n with reverse-alternating sum < 0. A344743

Triangle T(m,k) read by rows, where T(m,k) is the number of ways in which 1 <= k <= m positions can be picked in an m X m square array such that their adjacency graph consists of a single component. Two positions (s,t), (u,v) are considered as adjacent if max(abs(s-u), abs(t-v)) <= 1. A98485

Number of strict integer partitions of n > 0 such that the least and greatest parts are either both even or both odd (equivalently, their sum is even). A391227

Expansion of (1-x-x^N)/((1-x)(1-x²)(1-x³)...(1-x^N)) for N = 9. A60028