2874
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5760
- Proper Divisor Sum (Aliquot Sum)
- 2886
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 956
- Möbius Function
- -1
- Radical
- 2874
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 53
- 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
- Expansion of (1-x)*e^x/(2-e^x).at n=6A005840
- Coordination sequence T1 for Zeolite Code BOG.at n=38A008049
- Coordination sequence T2 for Zeolite Code EAB and OFF.at n=39A008083
- Coordination sequence T8 for Zeolite Code MFS.at n=33A008180
- A B_2 sequence: a(n) = least value such that sequence increases and pairwise sums of distinct elements are all distinct.at n=41A011185
- Expansion of e.g.f.: exp(sinh(x)+arcsin(x))=1+2*x+4/2!*x^2+10/3!*x^3+32/4!*x^4+122/5!*x^5...at n=7A013032
- sinh(sinh(x)+arcsin(x))=2*x+10/3!*x^3+122/5!*x^5+2874/7!*x^7...at n=3A013038
- Number of multigraphs with 5 nodes and n edges.at n=12A014395
- Numbers k such that the continued fraction for sqrt(k) has period 44.at n=21A020383
- Number of partitions satisfying (cn(1,5) = cn(4,5) and cn(1,5) <= cn(2,5) and cn(1,5) <= cn(3,5)).at n=42A036814
- Numbers having four 4's in base 5.at n=6A043368
- Numbers k such that the string 4,3 occurs in the base 9 representation of k but not of k-1.at n=39A044290
- Numbers n such that string 7,4 occurs in the base 10 representation of n but not of n-1.at n=31A044406
- Numbers n such that string 7,4 occurs in the base 10 representation of n but not of n+1.at n=31A044787
- Numbers m such that the Bernoulli number B_m has denominator 42.at n=41A051228
- Grundy function for turn-at-most-7-coins game.at n=19A054044
- a(n) = T(n,n-3), array T as in A055818.at n=22A055820
- Number of 3-element antichains on an unlabeled n-element set; equivalence classes of monotone Boolean functions of n variables with 3 mincuts under action of symmetric group S_n.at n=11A056778
- Number of inequivalent connected planar figures that can be formed from n non-overlapping 1 X 2 rectangles (or dominoes).at n=5A056786
- Numbers k such that prime(k) + k and prime(k) - k are both primes.at n=34A064403