Properties of the Number 16946

Sixteen Thousand Nine Hundred Forty-Six

Basics

Value: 16945 → 16946 → 16947

Parity: even

Prime: No

Previous Prime: 16943

Next Prime: 16963

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 37 × 229

Divisors: 1, 2, 37, 74, 229, 458, 8473, 16946

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001000110010

Octal: 41062

Duodecimal: 9982

Hexadecimal: 4232

Square: 287166916

Square Root: 130.17680284904833

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

Numbers k such that the k-th composition in standard order is a permutation (of an initial interval). A333218

Otto Haxel's guess for magic numbers of nuclear shells. A33547

Number of compositions of n with no part divisible by the next. A328460

If 0 <= n <= 3 then a(n) = n(n+1)(n+2)/3, if n >= 4 then a(n) = n(n²+5)/3. A162626

Number of strings of numbers x(i=1..5) in 0..n with sum i·x(i) equal to n·5. A184705

Number of strictly increasing arrangements of n nonzero numbers in -n..n with sum zero. A188115

Numbers k such that the k-th composition in standard order is a non-alternating permutation of an initial interval of positive integers. A350250

a(n) = (6·n+3)². A16946

a(n) consists of n 4's, n-1 8's and a single 9 (in that order). A109344