4440
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 13680
- Proper Divisor Sum (Aliquot Sum)
- 9240
- 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
- 1152
- Möbius Function
- 0
- Radical
- 1110
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 33
- 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
- Number of alkyls C_{n+15} H_{2n+10} (Phenan) with n carbon atoms.at n=6A000649
- a(n) = [ 2nd elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=33A025202
- T(n, 2*n-3), T given by A027960.at n=27A027965
- Expansion of (theta_3(z)*theta_3(19z) + theta_2(z)*theta_2(19z))^4.at n=18A028644
- Numbers k such that 217*2^k+1 is prime.at n=4A032485
- Every run of digits of n in base 11 has length 2.at n=36A033009
- a(n) = a(n-1) + prime(n-1), with a(1)=2.at n=47A036439
- Numbers having three 4's in base 10.at n=12A043507
- Positive integers having more base-11 runs of even length than odd.at n=39A044837
- Numbers whose base-4 representation contains exactly two 0's and four 1's.at n=30A045027
- Aliquot sequence starting at 840 (reaches 1 at 747th term).at n=2A045477
- Triangle of coefficients of certain polynomials (exponents in decreasing order).at n=24A046757
- Find smallest pair (x,y) such that x^2 - y^2 = 11...1 (n times) = (10^n-1)/9; sequence gives value of x.at n=7A048611
- Mean divisor of n differs by <= 1 from mean divisor of all numbers from 1 to n-1.at n=14A049010
- 18-gonal (or octadecagonal) numbers: a(n) = n*(8*n-7).at n=24A051870
- Numbers k such that sigma(x) = k has exactly 5 solutions.at n=39A060661
- Numbers k such that phi(x) = k has exactly 12 solutions.at n=14A060675
- Index values for new maxima in sequence A007365.at n=11A065932
- 1/n has period 3 in base 10.at n=52A069105
- First differences of A069477, successive differences of (n+1)^5 - n^5.at n=34A069478