8732
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 15960
- Proper Divisor Sum (Aliquot Sum)
- 7228
- 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
- 4176
- Möbius Function
- 0
- Radical
- 4366
- 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
- 140
- 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
- Self-convolution of array T given by A026659.at n=7A026976
- Numbers which contain exactly the same digits (with the correct multiplicity) in 3 different smaller bases.at n=15A059828
- a(n) = Sum_{d|n} sigma(n*d).at n=39A069546
- Record-setting differences between adjacent elements of the Mian-Chowla sequence variant A058335.at n=38A080931
- Numbers k such that numerator of Bernoulli(2*k) is divisible by 37 and 59, the first two irregular primes.at n=35A092231
- Number of base 24 circular n-digit numbers with adjacent digits differing by 1 or less.at n=7A124717
- The first 8 values are predefined, the remaining set to a(n) = 48*prime(n)+n+2.at n=41A129025
- n^3 - (n+2)^2.at n=21A153258
- Coefficients of a mock theta function.at n=49A192433
- Number of ordered triples (w,x,y) with all terms in {-n, ..., -1, 1, ..., n} and 5w + x + y > 0.at n=13A211630
- Numbers m such that m, m' and m'' are in arithmetic progression, where m' and m'' are the first and second arithmetic derivatives of m.at n=18A212409
- Numbers n such that n^16+1 and (n+2)^16+1 are both prime.at n=17A217991
- a(n) = n*(13*n - 9)/2.at n=37A226488
- Round(-1/n + 1/log((2n+1)/(2n-1))).at n=8A227513
- Number of (n+1)X(3+1) 0..2 arrays with row and column sums nondecreasing, and no adjacent elements equal.at n=6A233404
- T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with row and column sums nondecreasing, and no adjacent elements equal.at n=38A233408
- T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with row and column sums nondecreasing, and no adjacent elements equal.at n=42A233408
- Number of self-inverse permutations p on [n] with displacement of elements restricted by 8: |p(i)-i| <= 8.at n=10A239080
- Numbers n such that the decimal expansions of both n and n^2 have 2 as smallest digit and 8 as largest digit.at n=30A257368
- G.f.: Product_{k>=1, j>=1} (1+x^(j*k^2)).at n=44A280451