1380
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 4032
- Proper Divisor Sum (Aliquot Sum)
- 2652
- 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
- 352
- Möbius Function
- 0
- Radical
- 690
- Omega Function (Ω)
- 5
- 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
- 127
- 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
- Number of compositions of n into 3 ordered relatively prime parts.at n=54A000741
- 4-dimensional figurate numbers: a(n) = (6*n-2)*binomial(n+2,3)/4.at n=7A002419
- Discriminants of the known imaginary quadratic fields with 1 class per genus (a finite sequence).at n=56A003644
- a(n) = 1000*log_10(n) rounded down.at n=23A004225
- a(n) = 1000*log_10(n) rounded to the nearest integer.at n=23A004226
- Representation degeneracies for Neveu-Schwarz strings.at n=13A005297
- Number of n-step mappings with 4 inputs.at n=8A005945
- Oscillates under partition transform.at n=39A007212
- An upper bound on the biplanar crossing number of the complete graph on n nodes.at n=26A007333
- Number of nodes in regular n-gon with all diagonals drawn.at n=14A007569
- Poincaré series [or Poincare series] of Lie algebra associated with a certain braid group.at n=3A007995
- Coordination sequence T3 for Zeolite Code AFT.at n=28A008028
- Coordination sequence T1 for Zeolite Code DOH.at n=23A008078
- Coordination sequence T3 for Zeolite Code MEP.at n=22A008159
- Coordination sequence T2 for Zeolite Code YUG.at n=24A008248
- Theta series of A_4 lattice.at n=47A008444
- Molien series for alternating group Alt_12 (or A_12).at n=24A008635
- Number of partitions of n into at most 12 parts.at n=24A008641
- Coordination sequence T2 for Zeolite Code ZON.at n=26A009920
- Coordination sequence T4 for Zeolite Code ZON.at n=26A009922