9633
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14640
- Proper Divisor Sum (Aliquot Sum)
- 5007
- 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
- 5616
- Möbius Function
- 0
- Radical
- 741
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- Smith Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = (n + 1)*(n + 2)*(n + 4)*(n + 8)*(n + 15)/120.at n=11A006636
- Odd octagonal numbers: (2n+1)*(6n+1).at n=28A014641
- a(n) = (1/3)*(n^2 + 2*n + 3)*(n+1)^2.at n=12A014820
- 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 64.at n=38A031562
- Smaller of Smith brothers.at n=7A050219
- Numbers k such that k | sigma_6(k).at n=33A055710
- Subdiagonal of square array A081297.at n=5A081302
- Fifth binomial transform of F(n+1).at n=5A081570
- Square array of binomial transforms of Fibonacci numbers, read by ascending antidiagonals.at n=60A081572
- Number of asymmetric 2,3 cacti (triangular cacti with bridges).at n=14A091489
- Column 3 of triangle A091602.at n=40A091606
- Integers that are Rhonda numbers to more than one base.at n=14A100988
- Numbers k such that 7*10^k + 5*R_k + 4 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=9A103062
- Numbers n such that 9*10^n + 3*R_n + 4 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=25A103096
- Octagonal numbers for which the sum of the digits is also an octagonal number.at n=7A117082
- Octagonal numbers equal to S*(3S - 2) with 3S - 2 = k^2 and S semiprime.at n=4A124106
- Octagonal numbers of the form C*(3C - 2) with 3C - 2 = k^2 and C a composite number.at n=4A125511
- Crystal ball sequence for the lattice C_4.at n=6A142993
- 13 times triangular numbers.at n=38A152741
- Numbers k such that 120*k + 1 is a term in A163573.at n=35A163625