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Properties of the Number 165

One Hundred Sixty-Five

Basics

Value: 164 → 165 → 166

Parity: odd

Prime: No

Previous Prime: 163

Next Prime: 167

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 11

Divisors: 1, 3, 5, 11, 15, 33, 55, 165

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: Yes

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Representations

Binary: 10100101

Octal: 245

Duodecimal: 119

Hexadecimal: a5

Square: 27225

Square Root: 12.84523257866513

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

Pascal's triangle read by rows: C(n,k) = binomial(n,k) = n!/(k!*(n-k)!), 0 <= k <= n. A7318
Expansion of ∏m >= 1 (1 + xm); number of partitions of n into distinct parts; number of partitions of n into odd parts. A9
Completely multiplicative with a(prime(k)) = prime(k+1). A3961
Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6. A292
Number of partitions of n that do not contain 1 as a part. A2865
The squarefree numbers ordered lexicographically by their prime factorization (with factors written in decreasing order). a(n) = ∏k in I prime(k+1), where I is the set of indices of nonzero binary digits in n = ∑k in I 2k. A19565
a(n) = 3·n. A8585
Numbers that are the product of exactly three (not necessarily distinct) primes. A14612
a(n) = 4·n + 1. A16813
Fibbinary numbers: if n = F(i1) + F(i2) + ... + F(ik) is the Zeckendorf representation of n (i.e., write n in Fibonacci number system) then a(n) = 2i1 - 2 + 2i2 - 2 + ... + 2ik - 2. Also numbers whose binary representation contains no two adjacent 1's. A3714

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