Properties of the Number 16169

Sixteen Thousand One Hundred Sixty-Nine

Basics

Value: 16168 → 16169 → 16170

Parity: odd

Prime: No

Previous Prime: 16141

Next Prime: 16183

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 19 × 23 × 37

Divisors: 1, 19, 23, 37, 437, 703, 851, 16169

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111100101001

Octal: 37451

Duodecimal: 9435

Hexadecimal: 3f29

Square: 261436561

Square Root: 127.1573827978541

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

Expansion of 1/(1 - x² - x³ - x⁴) = 1/((1 + x)*(1 - x - x³)). A13979

Number of integer partitions of n whose parts are all equal or whose distinct parts are pairwise coprime. A304712

a(n) = (n + 3)*(n² + 6·n + 2)/6. A5286

a(n) = (1/6)*(2·n - 3)*(n + 2)*(n + 1). A58373

Expansion of g.f.: (1-x²-x³)/( (1+x)*(1-x-x³) ). A107458

a(n) is the least number whose sum of digits in primorial base equals n. A343048

Matrix inverse of triangle A063967. A91698

Number of compositions of n into parts of the n-th list of distinct parts in the order given by A246688. A246691

Lexicographically first sequence of positive integers such that all disjoint equivalent sets of K terms have distinct sums for 1 <= K <= 4. A349777

Greedy frac multiples of γ: a(1)=1, ∑_n>0 frac(a(n)*x) = 1 at x=γ, where "frac(y)" denotes the fractional part of y. A80157