7944
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 19920
- Proper Divisor Sum (Aliquot Sum)
- 11976
- 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
- 2640
- Möbius Function
- 0
- Radical
- 1986
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 96
- 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 ways of writing n as a sum of 12 squares.at n=4A000145
- Theta series of 12-dimensional unimodular lattice {D_12}^{+}.at n=4A004533
- a(0) = 1, a(n) = 22*n^2 + 2 for n>0.at n=19A010012
- Duplicate of A004533.at n=4A014745
- Theta series of D_12 lattice.at n=2A022043
- Theta series of D*_12 lattice.at n=4A022065
- Expansion of (theta_3(z^4)^3 + theta_2(z^4)^3)^4.at n=16A028697
- Even 9-gonal (or enneagonal) numbers.at n=24A028992
- Number of different energy states of n positive and n negative charges on a necklace. Different sets of distances between n points chosen from 2n equally spaced points on a circle.at n=11A045611
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2); sequence gives values of u2.at n=23A048190
- Numbers k such that 297*2^k-1 is prime.at n=33A050907
- Susceptibility series H_2 for 2-dimensional Ising model (divided by 2).at n=38A054275
- Multiples of 24 whose digits also sum to 24.at n=29A066270
- Number of partitions of n into distinct partition numbers.at n=22A068006
- Numbers m such that [A070080(m), A070081(m), A070082(m)] is an acute scalene integer triangle with prime side lengths.at n=21A070123
- Numbers k such that the number of distinct primes dividing k = number of anti-divisors of k.at n=44A073713
- Number of (s(0), s(1), ..., s(2n)) such that 0 < s(i) < 8 and |s(i) - s(i-1)| = 1 for i = 1,2,...,2n, s(0) = 3, s(2n) = 3.at n=7A094817
- Enneagonal numbers whose sum of digits is also enneagonal.at n=7A117051
- To find the next term, multiply the number obtained by reading the even digits in order by the number obtained by reading the odd digits in order.at n=5A122474
- Smallest number whose tenth power has at least n digits.at n=39A130084