8932
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 11228
- 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
- 3360
- Möbius Function
- 0
- Radical
- 4466
- Omega Function (Ω)
- 5
- 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
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- 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
- Numbers k such that phi(k + 12) | sigma(k) for k not congruent to 0 (mod 3).at n=34A015850
- Second pentagonal numbers with odd index: a(n) = (2*n-1)*(3*n-1).at n=39A033568
- Positive numbers having the same set of digits in base 8 and base 9.at n=40A037441
- Denominators of continued fraction convergents to sqrt(705).at n=9A042357
- Numbers k such that phi(k)*d(k) is a multiple of sigma(k), where d(k) is the number of divisors of k.at n=35A050934
- a(n) = a(n-1)*(3a(n-1) + 1)/2 with a(1) = 1.at n=4A059406
- Sequence of sums based on primes = 7 mod 8.at n=22A060108
- a(1) = 1; a(n) = Sum_{k=1..n-1} a(floor((n-1)/k)).at n=43A078346
- Number of partitions of triangular numbers n*(n+1)/2 into (n-2) distinct parts for n>=3.at n=14A104384
- Numbers n such that sigma(n) = 6*phi(n).at n=5A104900
- Triangle read by rows: T(n,k) is number of Grand Motzkin paths of length n having k returns to the x-axis (i.e., d or u steps hitting the x-axis).at n=38A109193
- Numbers k such that k and 8*k, taken together, are zeroless pandigital.at n=31A115932
- Perimeter s/6 (divided by 6) of primitive Pythagorean triangles such that perimeters are Averages of twin prime pairs, q=p+1, a=q^2-p^2, c=q^2+p^2, b=2*p*q, s=a+b+c, s-+1 are primes.at n=15A155176
- a(n) = 686*n + 14.at n=12A157366
- Triangle read by rows: T(n,k) = A129178(n,k) * (n*(n-1)/2 - k).at n=34A159323
- Sums of the antidiagonals of Sundaram's sieve (A159919).at n=27A159920
- a(n) = 11*n*(n+1).at n=28A164136
- Numbers k for which 6k+1, 24k+5, 432k^2+72k-1, and 432k^2+90k-1 are all prime.at n=18A175513
- Stack polyominoes with square core.at n=40A188674
- Triangle of coefficients of polynomials v(n,x) jointly generated with A208610; see the Formula section.at n=52A208611