Properties of the Number 9123

Nine Thousand One Hundred Twenty-Three

Basics

Value: 9122 → 9123 → 9124

Parity: odd

Prime: No

Previous Prime: 9109

Next Prime: 9127

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 3041

Divisors: 1, 3, 3041, 9123

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110100011

Octal: 21643

Duodecimal: 5343

Hexadecimal: 23a3

Square: 83229129

Square Root: 95.51439682058407

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

Triangle T(n,p) read by rows: the number of occurrences of p in the restricted growth functions of length n. A270236

Number of strongly unimodal partitions of n (strongly unimodal means strictly increasing then strictly decreasing). A59618

Minimum number n, not already present, that permits the cyclic repetition of the decimal digits 1,2,3,4,5,6,7,8,9 in the sequence. A165307

Positive integers of the form (2·m²+1)/11. A179088

Expansion of ∏_k>=1 (1 + x^k)^A001615(k), where A001615 is the Dedekind ψ function. A301594

Consecutive states of the linear congruential pseudo-random number generator 259·s mod 2¹⁵ when started at s=1. A384194

a(n) is the smallest number greater than a(n-1) such that in a(0) through a(n) no digit occurs more than once more than any other digit. A95204

a(n) = n³ + sum((-1)^j*a(j)); for j=1 to n-1; a(1)=1. A153286

McKay-Thompson series of class 12E for the Monster group with a(0) = -2. A187196

Number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = n+2. A210374