Properties of the Number 16691

Sixteen Thousand Six Hundred Ninety-One

Basics

Value: 16690 → 16691 → 16692

Parity: odd

Prime: Yes

Previous Prime: 16673

Next Prime: 16693

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 16691

Divisors: 1, 16691

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000100110011

Octal: 40463

Duodecimal: 97AB

Hexadecimal: 4133

Square: 278589481

Square Root: 129.19365309487924

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

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[2,6,4]; short d-string notation of pattern = [264]. A78848

Lower triangular matrix T, read by rows, such that row (n) is formed from the sums of adjacent terms in row (n-1) of the matrix square T², with T(0,0)=1. A97710

Primes p such that the multiplicative order of 2 modulo p is (p-1)/5. A1135

Number of partitions p of n such that (number of numbers in p of form 3k) < (number of numbers in p of form 3k+1). A241743

Numbers that are the sum of seven fourth powers in six or more ways. A345572

Numbers that are the sum of seven fourth powers in seven or more ways. A345573

Numbers that are the sum of seven fourth powers in exactly seven ways. A345829

Primes having only {1, 6, 9} as digits. A363023

a(n) = ∑_k=0..n (k+1) * binomial(k,3*(n-k)). A392044

Arithmetic derivatives of the sums of three primorials > 1. A370138