3078
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 7260
- Proper Divisor Sum (Aliquot Sum)
- 4182
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 972
- Möbius Function
- 0
- Radical
- 114
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 35
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=25A000338
- Pentagonal pyramidal numbers: a(n) = n^2*(n+1)/2.at n=18A002411
- Degrees of irreducible representations of Janko group J3.at n=20A003906
- Sum of 12 positive 9th powers.at n=6A004801
- Numbers that are the sum of 9 positive 10th powers.at n=3A004809
- Numbers that are the sum of at most 9 nonzero 10th powers.at n=33A004904
- Numbers that are the sum of at most 10 nonzero 10th powers.at n=36A004905
- Numbers that are the sum of at most 11 nonzero 10th powers.at n=39A004906
- Numbers that are the sum of at most 12 nonzero 10th powers.at n=42A004907
- Coordination sequence T4 for Zeolite Code FER.at n=34A008109
- Number of intersection points of diagonals of an n-gon in general position, plus number of vertices.at n=18A014626
- Numbers k such that k divides 2^(k+1) - 2.at n=21A014741
- Even pentagonal pyramidal numbers.at n=13A015224
- Positive integers n such that n | (2^n + n/2 - 1).at n=19A015942
- a(n) = n*(17*n + 1)/2.at n=19A022275
- Sequence A025513 divided by 2.at n=32A025514
- a(n) = (1/2)*floor(n/2)*floor((n-1)/2)*floor((n-2)/2).at n=38A028724
- Positions of record values in A030727.at n=48A030732
- "DGK" (bracelet, element, unlabeled) transform of 2,2,2,2,...at n=15A032231
- a(n) = n*(2*n+5).at n=38A033537