Properties of the Number 42135

Forty-Two Thousand One Hundred Thirty-Five

Basics

Value: 42134 → 42135 → 42136

Parity: odd

Prime: No

Previous Prime: 42131

Next Prime: 42139

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 53 ²

Divisors: 1, 3, 5, 15, 53, 159, 265, 795, 2809, 8427

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010010010111

Octal: 122227

Duodecimal: 20473

Hexadecimal: a497

Square: 1775358225

Square Root: 205.2681173489931

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

Pendulum numbers: alternately append n to beginning or end of previous term. A53063

The number of disconnected 2k-regular simple graphs on 4k+5 vertices. A184325

Alternately concatenate the decimal digits from front to back 1...n such that n is always to the right. A281253

Array read by rows in which the n-th row contains the multiples of n in increasing order using all the digits of first n numbers. A78189

Numbers k such that σ(k) = ψ(k) + 2 * τ(k). A387962

a(n) = n*(n+3)*2^n-3. A1793

Number of permutations of [n] whose lengths of increasing runs are triangular numbers. A317130

Triangle read by rows: T(n,k) = binomial(n+1,k+1)*binomial(2·n-k+1,k)/(n+1), 0<=k<=n. A391045

G.f. A(x) satisfies: (1 - x·A(x)) / (1 - x²*A(x)²)² = 1 - x. A218225

Number of permutations p of [n] avoiding consecutive odd sums i+p(i), (i+1)+p(i+1) for all i in [n-1]. A285672