Properties of the Number 1656

One Thousand Six Hundred Fifty-Six

Basics

Value: 1655 → 1656 → 1657

Parity: even

Prime: No

Previous Prime: 1637

Next Prime: 1657

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 23

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 23

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001111000

Octal: 3170

Duodecimal: B60

Hexadecimal: 678

Square: 2742336

Square Root: 40.69397989875161

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

6 times triangular numbers: a(n) = 3·n*(n+1). A28896

Sums of twin prime pairs. A54735

Number of strict integer partitions of n containing the sum of no subset of the parts. A364349

Triangle, read by rows, where row n lists the coefficients of x^k, k=1..2ⁿ, in the n-th iteration of (x + x²) for n>=0. A122888

Triangle read by rows: T(n,k) = number of lattice paths from (0,0) to (n,k) that do not go below the line y=0 and consist of steps U=(1,1), D=(1,-1) and three types of steps H=(1,0) (left factors of 3-Motzkin steps). A91965

Numbers that are the sum of 11 positive 6th powers. A3367

Numbers that can be expressed as the difference of the squares of primes in just one distinct way. A90781

a(n) = n*(n+10). A98603

Denominators of Cauchy numbers of second type (= Bernoulli numbers B_n⁽ⁿ⁾). A2790

a(n) = unique m such that m/A003963(m) = n, where A003963 is product of prime indices. A324922