Properties of the Number 32998

Thirty-Two Thousand Nine Hundred Ninety-Eight

Basics

Value: 32997 → 32998 → 32999

Parity: even

Prime: No

Previous Prime: 32993

Next Prime: 32999

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 × 7 × 2357

Divisors: 1, 2, 7, 14, 2357, 4714, 16499, 32998

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000011100110

Octal: 100346

Duodecimal: 1711A

Hexadecimal: 80e6

Square: 1088868004

Square Root: 181.653516343615

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(1) = 3; a(n+1) = a(n)-th composite. A22451

Number of subsets of {1,2,3,...,n} that sum to 0 mod 64. A68045

Expansion of ∏_k>=1 1/(1 - k*(x^2·k-1)). A266137

a(n) is obtained by applying the map k -> composite(k) n times, starting at n. A280327

Numbers k that divide the sum of the digits of k^k in base 2. A138572

a(n) = n!-6·Catalan(n)+5·2ⁿ+4·binomial(n,2)-2·Fibonacci(n)-14·n+20. A341303

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 1), (0, 1, 1), (1, 0, 0), (1, 1, -1)}. A150289

a(1)=1, a(p_n) = 1 + a(n), a(c_n) = 1 + a(n), where p_n = n-th prime = A000040(n), c_n = n-th composite number = A002808(n); Also binary width of terms of A135141. A246348

a(1)=0, a(p_n) = 1 + a(n), a(c_n) = a(n), where p_n = n-th prime = A000040(n), c_n = n-th composite number = A002808(n); Also number of nonleading 0-bits in the binary representation of A135141(n). A246370

a(1)=0, a(p_n) = a(n), a(c_n) = 1 + a(n), where p_n = n-th prime = A000040(n), c_n = n-th composite number = A002808(n); Also one less than the binary weight of terms of A135141. A246369