4275
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
- 18
- Divisor Sum
- 8060
- Proper Divisor Sum (Aliquot Sum)
- 3785
- 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
- 2160
- Möbius Function
- 0
- Radical
- 285
- Omega Function (Ω)
- 5
- 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
- 64
- 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
- no
- Odd
- yes
Appears in sequences
- McKay-Thompson series of class 5a for Monster.at n=20A007253
- Coordination sequence T2 for Zeolite Code EPI.at n=41A008091
- a(n) = (2*n - 11)*n^2.at n=15A015245
- Numbers k such that k | 14^k + 1.at n=45A015965
- a(n) = dot_product(1,2,...,n)*(6,7,...,n,1,2,3,4,5).at n=19A026046
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 19 (most significant digit on left).at n=37A029464
- Numbers with exactly five distinct base-8 digits.at n=12A031985
- a(n) = n*(2*n+5).at n=45A033537
- Binary reversal of 3^n.at n=8A036215
- First differences of A037260.at n=23A037261
- Number of partitions satisfying cn(2,5) + cn(3,5) <= cn(0,5).at n=37A039861
- Numbers k that divide 10^k + 5^k.at n=45A045599
- Numbers k that divide 8^k + 7^k.at n=41A045604
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = a(3) = 1.at n=16A049887
- n is odd and sum of digits of n equals the numbers of divisors of n.at n=23A057532
- a(n) = a(n-1) + 2*a(floor(n/2)) if n > 0, otherwise 1.at n=21A058039
- Numbers k such that the Lucas Aurifeuillian primitive part A of Lucas(k) is prime.at n=39A061442
- a(n) = 3*n*(4*n-1).at n=19A062783
- Numbers whose decimal representations consist of nested and /or concatenated ordered pairs 0-9, 1-8, 2-7, 3-6 and 4-5.at n=36A065751
- Nonsquares which are the product of two numbers with the same digits (leading zeros are forbidden).at n=26A072443