7322
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12576
- Proper Divisor Sum (Aliquot Sum)
- 5254
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3132
- Möbius Function
- -1
- Radical
- 7322
- Omega Function (Ω)
- 3
- 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
- 132
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Floor((e/2)^n).at n=29A014213
- Initial pile sizes which guarantee a win for player 2 in a certain variant of Nim.at n=38A016741
- Powers of fifth root of 24 rounded up.at n=14A018185
- a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (odd natural numbers).at n=27A024598
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor(n/2), s = (odd natural numbers).at n=26A025112
- Numbers whose set of base-13 digits is {3,4}.at n=20A032837
- Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,2.at n=4A037656
- Triangle of rooted planar maps.at n=32A046651
- Number of rooted trees with n nodes and 3 leaves.at n=22A055278
- Multiples of 7 using only prime digits (2, 3, 5 and 7).at n=41A077536
- Gregorian calendar years with Ascension Day in April.at n=27A084427
- Expansion of q^(-1/6) * eta(q^2)^3 / eta(q)^2 in powers of q.at n=45A085140
- Number of configurations of the sliding block 8-puzzle that require a minimum of n moves to be reached, starting with the empty square at mid-side.at n=17A089483
- Triangle read by rows: T(n,k) is the number of nonseparable planar maps with r*n edges and a fixed outer face of r*k edges which are invariant under a rotation of 1/r for any r >= 2 (independent of actual value of r).at n=31A091599
- Number of partitions of n with even number (or 0) 2's.at n=34A092295
- a(n) = n*(8*n^2 + 1)/3.at n=14A143166
- a(n) = n*(n+1)*(2*n+1)/6 - n*floor(n/2).at n=27A178946
- Number of 0..6 arrays x(0..n-1) of n elements with each no smaller than the sum of its three previous neighbors modulo 7.at n=5A200666
- T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with each no smaller than the sum of its three previous neighbors modulo (k+1).at n=60A200668
- Number of 0..n arrays x(0..5) of 6 elements with each no smaller than the sum of its three previous neighbors modulo (n+1).at n=5A200670