9130
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18144
- Proper Divisor Sum (Aliquot Sum)
- 9014
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3280
- Möbius Function
- 1
- Radical
- 9130
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 109
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- "BFK" (reversible, size, unlabeled) transform of 2,2,2,2...at n=18A032043
- Decimal part of cube root of n starts with 9: first term of runs.at n=19A034135
- Number of primitive (aperiodic) reversible string structures with n beads using a maximum of five different colors.at n=8A056334
- Arithmetic mean of largest subset of {A063676(1), ......., A063676(n-1)} such that a(n) is an integer and a(n) is maximal.at n=44A063678
- Numbers k such that prime(k) + prime(k+1) + prime(k+2) is a square.at n=17A076305
- Numbers equal to a permutation (or rearrangement) of the digits of the sum of their proper divisors (excluding the proper divisor 1). Rearrangements which cause leading zeros are excluded.at n=6A086248
- Number of subsets of {1, ..., n} that are sum-free but not double-free.at n=20A088811
- Expansion of 1 / (1 - 3x - x^2 + 2x^3).at n=8A100058
- Slowest increasing sequence where the absolute difference between the last digit of a(n) and the first digit of a(n+1) equals 9.at n=25A101243
- Number of unrooted two-vertex (or, dually, two-face) regular planar maps of even valency 2n considered up to orientation-preserving homeomorphism.at n=5A113181
- Number of unrooted two-vertex (or, dually, two-face) regular planar maps of valency n considered up to orientation-preserving homeomorphism.at n=11A113182
- Number of partitions of n into parts with at most one 1 and at most one 2.at n=42A121081
- Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 3 X 3.at n=3A123832
- Twice partition numbers.at n=29A139582
- Number of partitions of n times number of divisors of n.at n=28A141667
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (1, 1, -1), (1, 1, 1)}.at n=8A149436
- a(n) = n*(2*n^2 + 5*n + 13)/2.at n=20A163655
- (Average of twin balanced prime pairs)/10.at n=33A173893
- The maximum possible value for the apex of a triangle of numbers whose base consists of a permutation of the numbers 1 to n, and each number in a higher row is the sum of the two numbers directly below it.at n=10A189162
- Monotonic ordering of set S generated by these rules: if x and y are in S then (x+1)(y+1) is in S, and 2 is in S.at n=37A192518