2842
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 5130
- Proper Divisor Sum (Aliquot Sum)
- 2288
- 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
- 1176
- Möbius Function
- 0
- Radical
- 406
- 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
- no
- 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 1/((1-x)^2*(1-x^2)*(1-x^5)).at n=51A001304
- Coordination sequence T3 for Zeolite Code LIO.at n=37A008131
- Coordination sequence T5 for Zeolite Code NES.at n=34A008209
- Coordination sequence T4 for Zeolite Code PAU.at n=39A008222
- Coordination sequence T6 for Zeolite Code PAU.at n=39A008224
- Number of partitions of n into parts >= 3.at n=43A008483
- Coordination sequence T5 for Zeolite Code -CLO.at n=47A009854
- Coordination sequence for alpha-Mn, Position Mn2.at n=14A009951
- Number of partitions of n into distinct parts, none being 2.at n=53A015744
- 7 times triangular numbers: 7*n*(n+1)/2.at n=28A024966
- a(n) = floor(3rd elementary symmetric function of Sum_{j=1..k} 1/j, k = 1,2,...,n).at n=9A025213
- Sum{T(n-k,k)}, 0<=k<=[ n/2 ], T given by A026681.at n=15A026691
- Number of partitions of n in which the least part is 3.at n=46A026796
- a(n) = Sum_{k=0..2n} (k+1) * A027052(n, 2n-k).at n=7A027076
- a(n) = n*(n + 9).at n=49A028569
- Numbers having period-6 5-digitized sequences.at n=21A031190
- Number of partitions of n with equal number of parts congruent to each of 0 and 1 (mod 4).at n=39A035540
- Smallest k for which k, 2k, ... nk all contain the digit 8.at n=3A039939
- Numerators of continued fraction convergents to sqrt(304).at n=8A041572
- Numbers n such that string 0,7 occurs in the base 9 representation of n but not of n-1.at n=37A044258