2888
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 5715
- Proper Divisor Sum (Aliquot Sum)
- 2827
- 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
- 1368
- Möbius Function
- 0
- Radical
- 38
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 2
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
- 48
- Smith Number
- yes
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = 2*n^2.at n=38A001105
- Smallest number requiring n chisel strokes for its representation in Roman numerals.at n=29A002964
- Bishops on a 2n+1 X 2n+1 board (see Robinson paper for details).at n=7A005631
- Self-convolution of Pell numbers (A000129).at n=9A006645
- Number of strength 1 Eulerian graphs with n nodes, 2 of odd degree.at n=7A007124
- Coordination sequence T3 for Zeolite Code THO.at n=38A008240
- Coordination sequence T3 for Zeolite Code TON.at n=33A008243
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15).at n=42A017855
- Coordination sequence T2 for Zeolite Code SAO.at n=42A019572
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (composite numbers), t = (odd natural numbers).at n=18A024590
- Numbers k such that k^2+k+6 is a palindrome.at n=8A027729
- "EFK" (unordered, size, unlabeled) transform of 1,3,5,7,...at n=13A032304
- Least Smith number having digital sum A033662(n).at n=13A033663
- Coordination sequence for 38-dimensional cubic lattice.at n=2A035733
- Coordination sequence for C_38 lattice.at n=1A035775
- Coordination sequence for lattice D*_38 (with edges defined by l_1 norm = 1).at n=2A035804
- Coordination sequence for diamond structure D^+_38. (Edges defined by l_1 norm = 1.)at n=2A035895
- Number of partitions of n into parts not of form 4k+2, 16k, 16k+7 or 16k-7.at n=42A036023
- Numbers with "long" representations in Roman notation: given by last n letters from ...MMMDCCCLXXXVIII.at n=13A036746
- Numbers k such that tau(sigma(k)) = tau(k) where tau(k) is the number of divisors of k and sigma(k) their sum.at n=35A037197