1230
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 3024
- Proper Divisor Sum (Aliquot Sum)
- 1794
- 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
- 320
- Möbius Function
- 1
- Radical
- 1230
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 70
- 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
- Shifts 2 places left under boustrophedon transform.at n=9A000661
- Number of equivalence classes of 3-valued Post functions of n variables under action of semi-direct product of symmetric group S_n and complementing group C(n,3).at n=1A001323
- Number of equivalence classes of n-valued Post functions of 2 variables under action of semi-direct product of symmetric group S_2 and complementing group C(2,n).at n=1A001324
- Number of permutations of (1,...,n) having n-3 inversions (n>=3).at n=6A001893
- a(n) = 1000*log_10(n) rounded down.at n=16A004225
- a(n) = 1000*log_10(n) rounded to the nearest integer.at n=16A004226
- a(n) = round(n*phi^10), where phi is the golden ratio, A001622.at n=10A004945
- a(n) = ceiling(n*phi^10), where phi is the golden ratio, A001622.at n=10A004965
- Number of tree-rooted toroidal maps with 2 faces and n vertices and without separating loops or isthmuses.at n=2A006434
- Number of squarefree graphs on n vertices.at n=8A006786
- 5th-order maximal independent sets in cycle graph.at n=40A007388
- Distinct perimeter lengths of polygons with regularly spaced vertices.at n=10A007874
- Coordination sequence T2 for Zeolite Code AWW.at n=25A008046
- Coordination sequence T2 for Zeolite Code GOO.at n=24A008112
- Coordination sequence T4 for Zeolite Code GOO.at n=24A008114
- Coordination sequence T3 for Zeolite Code LAU.at n=25A008126
- Coordination sequence T2 for Zeolite Code MTW.at n=23A008197
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=122A008302
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=98A008302
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^4)).at n=35A008804