Properties of the Number 16121

Sixteen Thousand One Hundred Twenty-One

Basics

Value: 16120 → 16121 → 16122

Parity: odd

Prime: No

Previous Prime: 16111

Next Prime: 16127

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 7 ³ × 47

Divisors: 1, 7, 47, 49, 329, 343, 2303, 16121

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111011111001

Octal: 37371

Duodecimal: 93B5

Hexadecimal: 3ef9

Square: 259886641

Square Root: 126.96850003051938

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

Number of integer partitions of n such that (maximum) <= 2*(median). A361848

a(n) = (n-1)*(n+4)*(n+6)/6 for n > 1, a(1)=1. A137742

T(n,k) is the number of (n+1) X (k+1) 0..2 arrays x(i,j) with every row ∑_j=1..k+1 j·x(i,j) equal, and every column ∑_i=1..n+1 i·x(i,j) equal. A232614

Number of n-node trees of height at most 5. A1385

a(n) = (n-4)*(n+1)*(n+3)/6. A275874

a(n) = 8 + floor((2 + ∑_j=1..n-1 a(j))/4). A120166

Number of different n X n symmetric matrices with nonnegative entries summing to 4. Also number of symmetric oriented graphs with 4 arcs on n points. A139594

Odd composite integers m such that A004187(2·m-J(m,45)) == J(m,45) (mod m) and gcd(m,45)=1, where J(m,45) is the Jacobi symbol. A340124

Composite numbers whose prime factors contain no digits other than 4 and 7. A36318

Fully multiplicative with a(prime(k)) = Lucas(2*(k+1)) for k-th prime p, where Lucas(n) = A000032(n). A324900