7384
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 7736
- 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
- 3360
- Möbius Function
- 0
- Radical
- 1846
- 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
- 70
- 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
- Numbers n such that phi(n + 1) | sigma(n) for n congruent to 1 (mod 3).at n=23A015817
- Expansion of Product_{m>=1} (1+x^m)^13.at n=5A022578
- Numbers whose set of base-9 digits is {1,4}.at n=31A032821
- Numbers whose set of base-12 digits is {3,4}.at n=23A032836
- Numbers whose maximal base-9 run length is 4.at n=12A037999
- Sums of 6 distinct powers of 3.at n=35A038468
- Numbers having four 1's in base 9.at n=7A043460
- Numbers n such that 147*2^n-1 is prime.at n=26A050599
- Number of step cyclic shifted sequences using exactly two different symbols.at n=19A056415
- Numbers n such that n and the n-th prime have the same digits.at n=21A074350
- Let p(k) be the number of partitions of k (A000041); a(n) = Sum_{1<=k<=n, gcd(k,n)=1} p(k).at n=27A096223
- Pairs (j, k) of numbers j<k such that phi(j) = phi(k), sigma(j) = sigma(k), d(j) = d(k).at n=22A134922
- Values of m such that A139361(n)=4m+1.at n=20A139362
- Binomial transform of [1, 3, 7, 0, 0, 0, ...].at n=46A140063
- Numbers k such that lambda(k) = lambda(k+1).at n=16A173695
- Indices of record high-points in the sequence of Sprague-Grundy values for Grundy's game.at n=36A180120
- Number of strings of numbers x(i=1..6) in 0..n with sum i^3*x(i)^2 equal to 216*n^2.at n=31A184307
- Number of 3-step knight's tours on an (n+2) X (n+2) board summed over all starting positions.at n=11A186852
- Number of arrangements of n+1 nonzero numbers x(i) in -2..2 with the sum of floor(x(i)/x(i+1)) equal to zero.at n=6A189491
- T(n,k)=Number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of floor(x(i)/x(i+1)) equal to zero.at n=34A189498