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Properties of the Number 30789

Thirty Thousand Seven Hundred Eighty-Nine

Basics

Value: 30788 → 30789 → 30790

Parity: odd

Prime: No

Previous Prime: 30781

Next Prime: 30803

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 2 × 11 × 311

Divisors: 1, 3, 9, 11, 33, 99, 311, 933, 2799, 3421

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111100001000101

Octal: 74105

Duodecimal: 15999

Hexadecimal: 7845

Square: 947962521

Square Root: 175.4679457906771

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

n satisfying σ(n+1) = σ(n-1). A55574
Number of asymmetrical planar partitions of n: planar partitions (A000219) that when regarded as 3-D objects have no symmetry. A785
Starting numbers for which the RATS sequence has eventual period 3. A114613
Least k such that prime(k) + prime(k+1) contains n prime divisors (with multiplicity), otherwise 0. A251600
Numbers k such that σ(k-1) divides σ(k+1). A67130
Numbers k such that A098037(k) sets a new record. A098037 is the number of prime divisors (counting multiplicity) of the sums of two consecutive primes. A98048
Number of (1,-1)-returns to the horizontal axis in all weighted lattice paths in Ln. The members of Ln are paths of weight n that start at (0,0) , end on the horizontal axis and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps. A182897
Numbers n such that σ(n+1) - σ(n-1) = k·n for some integer k, where σ(n) = A000203 (sum of divisors of n). A223137
Numbers k such that σ(k+1) divides σ(k-1). A227304
Number of partitions p of n such that the m(M(p)) is a part, where m = multiplicity, M = the minimum multiplicity of the parts of p. A240539