4752
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 14880
- Proper Divisor Sum (Aliquot Sum)
- 10128
- 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
- 1440
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 8
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 77
- 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
- Two decks each have n kinds of cards, 2 of each kind. The first deck is laid out in order. The second deck is shuffled and laid out next to the first. A match occurs if a card from the second deck is next to a card of the same kind from the first deck. a(n) is the number of ways of achieving no matches.at n=4A000316
- Discriminants of totally real quartic fields (see comments).at n=15A002769
- Number of permutations with no hits on 2 main diagonals.at n=8A003471
- Degrees of irreducible representations of McLaughlin group McL.at n=12A003909
- Number of n-bead bracelets (turnover necklaces) of two colors with 10 red beads and n-10 black beads.at n=10A005515
- Number of 2n-bead black-white reversible necklaces with n black beads.at n=10A005648
- a(n) = n*(13*n + 1)/2.at n=27A022271
- Discriminants of totally real quartic fields.at n=18A023680
- 9 times the triangular numbers A000217.at n=32A027468
- a(n) = 2*n*(4*n + 3).at n=24A033587
- Similar submodules in cubian ring of index f(n)^2 where f(n) is the n-th positive integer represented by the quadratic form x^2 - 2 y^2.at n=48A035285
- Composite numbers n such that juxtaposition of prime factors of n has length 9.at n=34A036333
- Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*12^j.at n=8A038326
- Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*11^j.at n=7A038337
- Configurations of linear chains in a 4-dimensional hypercubic lattice.at n=4A042949
- Numbers whose base-7 representation contains exactly three 6's.at n=35A043419
- Starting index of a string of 3 or more consecutive equal digits in decimal expansion of Pi.at n=38A049515
- Starting index of a string of 4 or more consecutive equal digits in decimal expansion of Pi.at n=4A049516
- Starting index of a string of exactly 4 consecutive equal digits in decimal expansion of Pi.at n=1A049520
- Starting positions of strings of 2 8's in the decimal expansion of Pi.at n=36A050263