4464
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
- 5
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 12896
- Proper Divisor Sum (Aliquot Sum)
- 8432
- 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
- 186
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 46
- Smith Number
- yes
- 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+4)*(n+5)/6.at n=27A005586
- Low temperature antiferromagnetic susceptibility for diamond.at n=9A007216
- Numbers k such that k | (phi(k) * sigma(k)) but (phi(k) + sigma(k))/k does not increase.at n=36A015708
- Fibonacci sequence beginning 0, 31.at n=12A022365
- Expansion of Product_{m>=1} (1+m*q^m)^27.at n=3A022655
- 9 times the triangular numbers A000217.at n=31A027468
- Every run of digits of n in base 11 has length 2.at n=38A033009
- Theta series of lattice D3 tensor D3* (dimension 9, det. 262144, min. norm 6).at n=11A033694
- Theta series of lattice D3 tensor D3* (dimension 9, det. 262144, min. norm 6).at n=16A033694
- Divide natural numbers in groups with prime(n) elements and add together.at n=10A034957
- Fourier coefficients of (normalized Delta)^4.at n=2A035150
- Number of partitions in parts not of the form 7k, 7k+1 or 7k-1. Also number of partitions with no part of size 1 and differences between parts at distance 2 are greater than 1.at n=50A035937
- Positive numbers having the same set of digits in base 7 and base 8.at n=37A037438
- Numbers having three 4's in base 10.at n=22A043507
- Mean divisor of n differs by <= 1 from mean divisor of all numbers from 1 to n-1.at n=15A049010
- a(n) = n*A029767(n-1).at n=6A052840
- Differences between the minimal numbers (A007416).at n=47A053213
- Sum of divisors of those numbers n such that n and n+1 have the same sum of divisors.at n=7A053215
- Number of basis partitions of n+49 with Durfee square size 7.at n=20A053802
- Number of step shifted (decimated) sequence structures using a maximum of two different symbols.at n=15A056391