Properties of the Number 16961

Sixteen Thousand Nine Hundred Sixty-One

Basics

Value: 16960 → 16961 → 16962

Parity: odd

Prime: No

Previous Prime: 16943

Next Prime: 16963

Digit Sum: 23

Digital Root: 5

Palindrome: Yes

Factorization: 7 × 2423

Divisors: 1, 7, 2423, 16961

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001001000001

Octal: 41101

Duodecimal: 9995

Hexadecimal: 4241

Square: 287675521

Square Root: 130.23440405668543

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

a(n) = n*(11·n² - 5)/6. A4467

Palindromic and divisible by 7. A45642

a(n) is the smallest positive integer such that n·a(n) contains n+a(n) as a substring. If no such number exists then a(n) = -1. A339144

Numbers n such that the decimal number concat(5,n) is a square. A273360

Expansion of A(x) satisfying A(A(x)) = x+2x²+4x³. A220110

Coefficients in the expansion of 1/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = 7/5. A279779

a(n) = 997·n + 1009. A100776

Palindromic mountain numbers. A173070

Number of partitions p of n such that round(mean(p)) is not a part of p; here, round(x) means floor(x + 1/2). A241734

a(n) = C(n+2,3) + C(n,3) + C(n-1,3). A6004