Properties of the Number 1632

One Thousand Six Hundred Thirty-Two

Basics

Value: 1631 → 1632 → 1633

Parity: even

Prime: No

Previous Prime: 1627

Next Prime: 1637

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 17

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 17, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001100000

Octal: 3140

Duodecimal: B40

Hexadecimal: 660

Square: 2663424

Square Root: 40.39801975344831

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) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n. A6918

Number of partitions of n into distinct parts such that number of parts is odd. A67659

a(n) = 2·binomial(n,3). A7290

Number of partitions of n into distinct parts such that number of parts is even. A67661

Numbers n such that n = product (p_k)^c_k and set of its (c_k k's)'s is a self-conjugate partition, where p_k is k-th prime and c_k > 0. A88902

Numbers that are divisible by exactly 7 primes counting multiplicity. A46308

Numbers n such that n¹⁰²⁴ + 1 is prime (a generalized Fermat prime). A57002

Multiples of 16 containing a 16 in their decimal representation. A121036

Numbers whose sum of prime indices is twice their number, counted with multiplicity in both cases. A340387

12 times triangular numbers. A49598