9602
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14406
- Proper Divisor Sum (Aliquot Sum)
- 4804
- 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
- 4800
- Möbius Function
- 1
- Radical
- 9602
- 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
- 122
- 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 m such that 4*3^m + 1 is prime.at n=16A005537
- a(n) = 6*n^2 + 2 for n > 0, a(0)=1.at n=40A005897
- Number of compositions (p_1, p_2, p_3, ...) of n with 1 <= p_i <= i for all i.at n=16A008930
- a(0) = 1, a(n) = 24*n^2 + 2 for n>0.at n=20A010014
- 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 96.at n=23A031594
- Numbers ending with '2' that are the difference of two positive cubes.at n=25A038857
- Engel expansion of the Euler-Mascheroni constant gamma A001620 = 0.57721566... .at n=6A053977
- Least number which may be expressed as the sum of a prime number and a nonzero square in exactly n different ways.at n=32A064283
- Numbers k such that sigma(sigma(k)) == phi(k) (mod sigma(k)).at n=11A067204
- a(n) = A077704(n+1)/A077704(n).at n=19A077705
- a(n) = 10*a(n-1) - a(n-2), starting with a(0) = 2 and a(1) = 10.at n=4A087799
- a(n) = a(n-1)^2 - 2 with a(1) = 10.at n=2A135927
- Least k such that k*(2^p-1)*(k*(2^p-1)+1)+1 is prime, where 2^p-1 runs through the Mersenne primes.at n=18A137909
- a(n) = 98*a(n-1) - 2*a(n-2); a(1) = 0, a(2) = 1.at n=3A168522
- Triangle, read by rows, defined by T(n, k) = b(n, k) + b(n, n-k+1) - (b(n,1) + b(n,n)) + 1, where b(n, k) = (-1)^n*(n!/k!)^2 *binomial(n-1, k-1).at n=12A169658
- Triangle read by rows: T(n,k) is the number of partitions of the set {1,2,...,n} having exactly k blocks that do not consist of consecutive integers (0<=k<=floor(n/2); a singleton is considered a block of consecutive integers).at n=27A177256
- Numbers m such that all three values m^2 + 13^k, k = 1, 2, 3, are prime.at n=36A178639
- Number of nondecreasing arrangements of 7 numbers x(i) in -(n+5)..(n+5) with the sum of sign(x(i))*2^|x(i)| zero.at n=13A187991
- Numbers such that floor(a(n)^2 / 6) is a square.at n=14A204518
- Number of (v,w,x,y,z) with all terms in {0,1,...,n} and v=average(w,x,y,z).at n=13A212257