9702
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 26676
- Proper Divisor Sum (Aliquot Sum)
- 16974
- 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
- 2520
- Möbius Function
- 0
- Radical
- 462
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 166
- 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
- a(n) = n^2*(n+1).at n=21A011379
- a(n) = n*(15*n - 1)/2.at n=36A022272
- a(n) = (-1 + prime(n+1)^2)/4.at n=43A024701
- a(n) = 3*(n+1)*binomial(n+5,6).at n=5A027811
- a(n) = 126*(n+1)*binomial(n+5,9)/5.at n=2A027814
- Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,2.at n=5A037654
- Composite numbers divisible by the palindromic sum of their prime factors (counted with multiplicity).at n=23A046358
- Composite numbers divisible by the palindromic sum of their palindromic prime factors (counted with multiplicity).at n=11A046366
- Expansion of g.f. (1+x)*Product_{m>0} (1 + x^m).at n=53A052816
- McKay-Thompson series of class 45b for Monster.at n=52A058686
- Coefficient triangle of certain polynomials N(4; m,x).at n=33A062264
- GCD of n! and the reverse of n!.at n=29A071678
- Orchard crossing number of complete bipartite graph K_{1,n}.at n=43A080838
- Quotient of LCM of prime(n+1)-1 and prime(n)-1 and GCD of the same two numbers.at n=44A083555
- a(n) = binomial(2n+1, n+1)*binomial(n+2, 2).at n=5A085373
- Number of lattice points on or inside the rectangle formed by [1 <= x <= (q-1)/2] and [1 <= y <= (p-1)/2], where p = n-th prime, q = (n-1)-st prime.at n=43A087427
- Indices of primes in the sequence defined by A(0) = 29, A(n) = 10*A(n-1) - 21 for n > 0.at n=14A101965
- a(n) = binomial(n+2,n)*binomial(n+6,n).at n=5A105249
- a(n) =(A001359[n]^2-1)/2.at n=14A117849
- Start with 1 and repeatedly reverse the digits and add 67 to get the next term.at n=20A118214