8962
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13446
- Proper Divisor Sum (Aliquot Sum)
- 4484
- 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
- 4480
- Möbius Function
- 1
- Radical
- 8962
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Numbers that are the sum of 2 positive 4th powers.at n=42A003336
- 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 94.at n=8A031592
- Numbers m such that m^2 ends in 444.at n=35A039685
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 3, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n-1 <= 2^(p+1), with a(1) = a(2) = 1.at n=16A049884
- Maximal value of Sum_{i=1..n} (p(i) - p(i+1))^2, where p(n+1) = p(1), as p ranges over all permutations of {1, 2, ..., n}.at n=29A064842
- a(n) = 7^n + 9^n.at n=4A074623
- Numbers that can be represented as j^4 + k^4, with 0 < j < k, in exactly one way.at n=34A088687
- Maximum number of different determinants that can be produced by permuting the elements of a 3 X 3 integer matrix with nonnegative entries <= n.at n=28A099834
- Sum of ordered 3 prime sided prime triangles.at n=39A105100
- Numbers k such that k + sigma(k) + sigma(sigma(k)) is a square.at n=27A116014
- a(n) = 9*n^2 - 8*n + 2.at n=32A154254
- Quartan semiprimes: semiprimes of the form x^4 + y^4, x>0, y>0.at n=9A182277
- Numbers of the form 3^j + 7^k, for j and k >= 0.at n=43A226816
- Numbers of the form 7^j + 9^k, for j and k >= 0.at n=24A226831
- Number of pairs (x, y) with 0 <= x, y <= n such that the distance between two points is a positive integer.at n=17A228108
- Number of 2 X n 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally, with no adjacent elements equal.at n=10A232336
- Number of partitions p of n such that the number of distinct parts is a part or max(p) - min(p) is a part.at n=36A241391
- Number of trapezoidal words of length n.at n=38A260881
- Number of ways to choose a strict partition of each part of a strict partition of n.at n=22A279785
- q-Expansion of wedge character chi^(2)(q).at n=18A288578