9738
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 21138
- Proper Divisor Sum (Aliquot Sum)
- 11400
- 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
- 3240
- Möbius Function
- 0
- Radical
- 3246
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 135
- 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
- Number of trees of diameter 5.at n=21A000147
- Expansion of 1/((1-x)^3*(1-x^2)^2*(1-x^3)).at n=22A002625
- a(n) = n*(15*n + 1)/2.at n=36A022273
- Expansion of 1/((1-x)(1-8x)(1-10x)(1-11x)).at n=3A024999
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 2,3,0,1.at n=4A037748
- Concatenate n-th prime and n-th composite.at n=24A038530
- Number of primes between successive Fibonacci numbers exclusive.at n=26A052011
- Nearest integer to log(n!)^(1 + log(log(1 + n))).at n=26A062476
- Number of primes between successive Fibonacci numbers inclusive.at n=27A076777
- Number of primes between successive Fibonacci numbers (including possibly the Fibonacci numbers themselves).at n=26A082602
- Number of primes p such that Fib(n+1) <= p < Fib(n+2), (where Fib = A000045).at n=25A095354
- Numbers n such that the sum of the digits of n^phi(n) is divisible by n.at n=21A109660
- Numbers k such that k + sigma(k) is a triangular number.at n=42A115904
- Number of nondecreasing arrangements of 4 numbers in -(n+2)..(n+2) with sum zero.at n=31A188212
- Number of 4-element subsets that can be chosen from {1,2,...,4*n} having element sum 8*n+2.at n=18A204468
- Number of partitions p of n not including round(mean(p)) as a part. (This is "Mathematica round"; for round(x) defined as floor(x + 1/2), see A241734.)at n=37A241339
- Number of partitions p of n such that round(mean(p)) is not a part of p; here, round(x) means floor(x + 1/2).at n=37A241734
- Numbers n such that n^k is zeroless for k=0,...,6.at n=25A253647
- Number of length-4 0..n arrays with no repeated value differing from the previous repeated value by other than one.at n=8A269538
- Solution of the complementary equation a(n) = 2*a(n-1) - a(n-2) + b(n-1), where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences.at n=35A294866