4272
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 11160
- Proper Divisor Sum (Aliquot Sum)
- 6888
- 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
- 1408
- Möbius Function
- 0
- Radical
- 534
- Omega Function (Ω)
- 6
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 25
- 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
- MacMahon's generalized sum of divisors function.at n=30A002127
- Coordination sequence T4 for Zeolite Code MTT.at n=40A008192
- a(n) = prime(n)*(prime(n+1)-1)/2.at n=23A014303
- Number of ordered triples of integers from [ 1,n ] with no common factors between pairs.at n=43A015632
- Coordination sequence T5 for Zeolite Code MWW.at n=44A024990
- (d(n)-r(n))/5, where d = A006527 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=38A026036
- Records for sum of proper divisors function A001065.at n=44A034091
- Number of partitions of n into parts not of the form 25k, 25k+7 or 25k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=29A036006
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2) = k; sequence gives values of k.at n=26A048191
- Number of points in N^4 of norm <= n.at n=10A055403
- Number of points in N^n of norm <= 10.at n=4A055425
- Triangle T(n,k) read by rows, giving the number of n X n binary matrices with no zero rows or columns and with k=0..n^2 ones.at n=28A055599
- a(n) = least value such that sequence increases and pairwise differences are unique.at n=47A058335
- Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 19 (most significant digit on right).at n=19A061948
- a(n) = Sum_{1 <= x, y <= n} lcm(x, y).at n=11A064951
- Lengths of intervals between special points in Recamán's sequence A005132.at n=14A065053
- Numbers k such that phi(prime(k)-1) == 0 (mod k).at n=8A067733
- Expansion of (1 - 2*x - sqrt(1 - 4*x - 4*x^2))/(4*x^2).at n=7A071356
- a(n) = 2^(n-1) * Sum_{k=0..n} (n+k)! / k!^2.at n=3A072343
- Sum of aliquot divisors of Ramanujan's highly composite numbers.at n=16A072824