8850
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
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 22320
- Proper Divisor Sum (Aliquot Sum)
- 13470
- 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
- 2320
- Möbius Function
- 0
- Radical
- 1770
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- 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 - 3*x + x^2)^2.at n=7A001871
- Oscillates under partition transform.at n=49A007210
- (d(n)-r(n))/5, where d = A006527 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=49A026036
- Numbers whose set of base-14 digits is {2,3}.at n=26A032814
- Number of partitions of n with equal nonzero number of parts congruent to each of 2, 3 and 4 (mod 5).at n=54A035591
- Numbers having four 2's in base 8.at n=3A043432
- Numbers whose base-5 representation contains exactly three 0's and two 4's.at n=22A045216
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 91 ).at n=28A063364
- Heights of peaks of more than 8000 meters (as of Sep 25 2001), in decreasing order.at n=0A064296
- Digits of sigma(n) end in phi(n).at n=11A067249
- Treated as strings, phi(n) is a substring of sigma(n).at n=22A074452
- Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 9 multiples of n-1, n-2, ..., 1, for n>=1.at n=45A113746
- A convolution triangle of numbers based on A001906 (even-indexed Fibonacci numbers).at n=37A125662
- Number of 0's in even position in all Fibonacci binary words of length n. A Fibonacci binary word is a binary word having no 00 subword.at n=17A129722
- 5 times hexagonal numbers: 5*n*(2*n-1).at n=30A152745
- Values of n such that n^a-+a are primes, a=7.at n=5A155022
- Triangle, read by rows, given by [0,1/3,-1/3,0,0,0,0,0,0,0,...] DELTA [3,-1/3,1/3,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.at n=53A172249
- a(n) = ceiling(A173510(n)/2).at n=37A173513
- Number of compositions (ordered partitions) of n where no pair of adjacent part sizes is relatively prime.at n=28A178470
- Triangle read by rows: T(n,k) is the number of ternary words (i.e., finite sequences of 0's, 1's and 2's) of length n having k occurrences of 01's (0 <= k <= floor(n/2)).at n=26A181371