Properties of the Number 16362

Sixteen Thousand Three Hundred Sixty-Two

Basics

Value: 16361 → 16362 → 16363

Parity: even

Prime: No

Previous Prime: 16361

Next Prime: 16363

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 101

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 81, 101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11111111101010

Octal: 37752

Duodecimal: 9576

Hexadecimal: 3fea

Square: 267715044

Square Root: 127.91403363196706

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

Expansion of ∏_k>0 theta₃(q^k), where theta₃() is the Jacobi θ function. A320067

a(n) = floor(X/Y) where X = concatenation in decreasing order of (2n)-th even number to (n+1)-th even number and Y = that of first n even numbers in increasing order. A67092

Triangle read by rows: T(n,k) is the number of partitions of the set {1,2,...,n} having k adjacent blocks of size 3, i.e., blocks of the form (i,i+1,i+2) (0 <= k <= floor(n/3)). A184176

Smallest sets of 6 consecutive abundant numbers in arithmetic progression. The initial abundant number is listed. A228963

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 625", based on the 5-celled von Neumann neighborhood. A289965

Smallest sets of 7 consecutive abundant numbers in arithmetic progression. The initial abundant number is listed. A228964

G.f.: A(x) = (A₁)³ where A₁ = 1/[1 - x*(A₂)³], A₂ = 1/[1 - x²*(A₃)³], A₃ = 1/[1 - x³*(A₄)³], ... A_n = 1/[1 - xⁿ*(A_n+1)³] for n>=1. A132335

a(n) = 4ⁿ - 3·n - 1. A289254

p-INVERT of the positive integers, where p(S) = (1 - S³)². A290928

Averages k of twin primes such that the sum (with multiplicity) of prime factors of k-1, k and k+1 is prime. A340060