4872
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
- 32
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 9528
- 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
- 1344
- Möbius Function
- 0
- Radical
- 1218
- Omega Function (Ω)
- 6
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 134
- 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
- a(n) = n*(n+1)*(n+8)/6.at n=28A006503
- Trails of length n on honeycomb lattice.at n=12A006851
- Coordination sequence T4 for Zeolite Code AFO.at n=46A008018
- Coordination sequence T1 for Cordierite.at n=42A008251
- If a, b in sequence, so is ab+8.at n=25A009331
- E.g.f. sin(sin(x)*exp(x)).at n=8A009483
- a(n) = floor( n*(n-1)*(n-2)/5 ).at n=30A011887
- Number of partitions of n into prime power parts (1 excluded).at n=47A023894
- Triangle read by rows: T(n, k) = (k+1)*A132393(n+1, k+1), for 0 <= k <= n.at n=23A028421
- Cube root of A030690.at n=33A030691
- Every run of digits of n in base 13 has length 2.at n=33A033011
- Positive integers having more base-13 runs of even length than odd.at n=35A044839
- 12 times triangular numbers.at n=28A049598
- Number of complementary pairs of directed graphs on n nodes. Also number of unlabeled digraphs with n nodes and an even number of arcs.at n=4A054928
- McKay-Thompson series of class 12F for Monster.at n=10A058484
- Numbers that are the products of distinct substrings (>1) of themselves and do not end in 0.at n=11A059470
- Generalized sum of divisors function: third diagonal of A060047.at n=25A060046
- Numbers k such that sigma(x) = k has exactly 5 solutions.at n=41A060661
- Seventh convolution of A001045(n+1) (generalized (1,2)-Fibonacci), n>=0, with itself.at n=5A073377
- Friendly numbers (see A074902) such that sigma(n) is not friendly.at n=20A074873