Properties of the Number 30135

Thirty Thousand One Hundred Thirty-Five

Basics

Value: 30134 → 30135 → 30136

Parity: odd

Prime: No

Previous Prime: 30133

Next Prime: 30137

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 7 ² × 41

Divisors: 1, 3, 5, 7, 15, 21, 35, 41, 49, 105

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111010110110111

Octal: 72667

Duodecimal: 15533

Hexadecimal: 75b7

Square: 908118225

Square Root: 173.59435474692143

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

Number of integer compositions of n whose leaders of strictly increasing runs are distinct. A374687

INVERTi transform of A000081 = [1, 2, 4, 9, 20, 48, 115, 286, 719, 1842, 4766, 12486,...]. A51573

Partial sum of A005915. A126274

Triangle T(n,k) of series-reduced (or homeomorphically irreducible) labeled graphs with n nodes and k edges, k=0..binomial(n,2). A60514

Triangular numbers t which are average of two consecutive primes p and p+4. A129752

Triangle read by rows, n>=1, 1<=k<=n, T(n,k) = k·binomial(n,k)³*(n²+n-k·n-k+k²)/((n-k+1)²*n). A202409

Semiperimeter of the unique primitive Pythagorean triple (a,b,c) such that (a-b+c)/2 is A000032(n) and such that its long leg and its hypotenuse are consecutive natural numbers. A382409

a(1) = 1; a(n) is the smallest triangular number > a(n-1) which differs from it at every digit. A68855

Triangular numbers whose digit permutations yield at least two further triangular numbers. A69674

Numbers k such that there are precisely 12 groups of order k and precisely 12 of order k + 1. A298429