2004
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
- 12
- Divisor Sum
- 4704
- Proper Divisor Sum (Aliquot Sum)
- 2700
- 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
- 664
- Möbius Function
- 0
- Radical
- 1002
- Omega Function (Ω)
- 4
- 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
- 112
- 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
- High-temperature series in v = tanh(J/kT) for susceptibility for the Ising model on honeycomb structure.at n=11A002910
- Expansion of ( Sum_{n = -infinity..infinity} x^(n^2) )^(-6).at n=4A004407
- 'Eban' numbers (the letter 'e' is banned!).at n=21A006933
- Some permutation of digits is a factorial number.at n=29A007926
- Some nontrivial permutation of digits is a factorial number.at n=23A007927
- Coordination sequence T1 for Zeolite Code DFO.at n=34A009875
- Number of 5-tuples of different integers from [ 1,n ] with no common factors among pairs.at n=22A015698
- Coordination sequence T3 for Zeolite Code CGF.at n=31A019453
- Coordination sequence T4 for Zeolite Code CGF.at n=31A019454
- Numbers k such that the continued fraction for sqrt(k) has period 32.at n=27A020371
- a(n) = n*(7*n - 1)/2.at n=24A022264
- Number of terms in n-th derivative of a function composed with itself 3 times.at n=14A022811
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t = A002808 (composite numbers).at n=22A023863
- Number of partitions of n in which the least part is even.at n=34A026805
- Coordination sequence T2 for Zeolite Code CGS.at n=33A027366
- Coordination sequence T4 for Zeolite Code CGS.at n=33A027368
- a(n) = 3*n^2 - 7*n + 6.at n=27A027599
- Numbers whose base-10 representation has 2 more 0's than 9's.at n=35A031498
- Decimal part of a(n)^(1/n) starts with a 'nine digits' anagram.at n=21A035136
- Number of partitions of n into parts not of the form 21k, 21k+9 or 21k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=25A035987