7959
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12160
- Proper Divisor Sum (Aliquot Sum)
- 4201
- 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
- 4536
- Möbius Function
- -1
- Radical
- 7959
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 96
- 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
- no
- Odd
- yes
Appears in sequences
- From descending subsequences of permutations.at n=6A006219
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 58.at n=37A031556
- Number of partitions in parts not of the form 15k, 15k+1 or 15k-1. Also number of partitions with no part of size 1 and differences between parts at distance 6 are greater than 1.at n=42A035955
- Number of partitions of n with some part repeated.at n=32A047967
- Integers n > 7059 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 7059.at n=9A063058
- Expansion of (1 + x)*(1 - x + x^2)/((1 - x)^4*(1 + x + x^2)).at n=40A070333
- Numbers n such that the partition function A000041(k) is even and odd the same number of times for 0 <= k <= n.at n=10A098936
- a(n) = 2^n - Fibonacci(n).at n=13A099036
- Triangle read by rows counting compositions (ordered partitions) by minimal part size.at n=104A125104
- a(n) = 343*n - 273.at n=23A157369
- a(n) = sum of all divisors of all numbers k such that n^2 <= k < (n+1)^2.at n=12A168012
- 0-sequence of reduction of (3n) by x^2 -> x+1.at n=12A192307
- Number of practical numbers not exceeding 2^n.at n=16A209237
- Number of 2 X 2 matrices with all elements in {1,2,...,n} and determinant in {0,1}.at n=39A209992
- Triangle read by rows: T(n,k) is the number of permutations of n elements with k the (smallest) header (first element) of the longest descending subsequence.at n=38A224652
- Number of Carlitz compositions of n with exactly five descents.at n=6A241695
- Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) = number of distinct parts of p.at n=44A241820
- Numbers m such that there are precisely 7 groups of order m.at n=24A249550
- a(1) = 6; for n > 1, a(n) = the least squarefree composite number whose sum of prime factors is prime and whose greatest prime factor is the sum of prime factors of a(n-1).at n=43A262081
- Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 158", based on the 5-celled von Neumann neighborhood.at n=13A279475