4408
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9000
- Proper Divisor Sum (Aliquot Sum)
- 4592
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2016
- Möbius Function
- 0
- Radical
- 1102
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 46
- 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
- Primitive pseudoperfect numbers.at n=61A006036
- Taylor series related to one in Ramanujan's Lost Notebook.at n=22A006305
- Number of loopless rooted planar maps with 3 faces and n vertices and no isthmuses. Also a(n)=T(4,n-3), array T as in A049600.at n=26A006416
- Coordination sequence T1 for Zeolite Code CGF.at n=46A019451
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly seven 1's.at n=20A020443
- a(n) = (prime(n)-1)*(prime(n)-5)/12.at n=48A030006
- Number of achiral triangular n-ominoes (n-iamonds) (holes are allowed).at n=19A030223
- Number of binary [ n,7 ] codes without 0 columns.at n=11A034348
- Numbers whose base-4 representation has exactly 7 runs.at n=24A043598
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 7.at n=24A043843
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 8.at n=24A043857
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 9.at n=24A043865
- Numbers k such that the number of runs in the base-4 representation of k is congruent to 7 (mod 10).at n=24A043874
- Rhombic matchstick numbers: a(n) = n*(3*n+2).at n=38A045944
- Coordination sequence T2 for Zeolite Code MSO.at n=46A047964
- Row sums of array T as in A055215.at n=26A054405
- a(n) = least value such that sequence increases and pairwise differences are unique.at n=48A058336
- Sum of next n composite numbers.at n=18A072475
- Numbers k such that A083539(k) is a square; solutions x to sigma(x+1)*sigma(x)=y^2 for some y.at n=35A083540
- Number of compositions (ordered partitions) of n such that some part is repeated consecutively 5 times and no part is repeated consecutively more than 5 times.at n=12A091619