17822
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 32640
- Proper Divisor Sum (Aliquot Sum)
- 14818
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7128
- Möbius Function
- 1
- Radical
- 17822
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 97
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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 dyslexic rooted compound windmills with n nodes and leaves of 2 colors with no symmetries.at n=10A032257
- Expansion of series related to Liouville's Last Theorem: g.f. sum_{t>0} (-1)^(t+1) *x^(t*(t+1)/2) / ( (1-x^t)^6 *product_{i=1..t} (1-x^i) ).at n=13A059823
- a(n) = p(7n+5)/7 where p(k) denotes the k-th partition number.at n=6A071746
- Deficient oblong numbers.at n=21A077804
- Product of the n-th run of squarefree numbers.at n=36A136742
- a(n) = 686*n - 14.at n=25A157363
- a(n) = (4*n+1)*(4*n+2) = (4*n+2)!/(4*n)!.at n=33A157870
- Numbers k such that 2^k - 1 - Sum_{prime p<k} 2^p is prime.at n=29A215888
- Numbers n such that 7n is a partition number.at n=15A222175
- Oblong numbers n such that sigma(n) is a triangular number.at n=6A256150
- Integers that are the sum of two consecutive semiprimes, as well as the product of two consecutive semiprimes.at n=7A288955
- Squarefree integers m > 1 such that if prime p divides m, then s_p(m) >= p and s_p(m) == 2 (mod p-1), where s_p(m) is the sum of the base p digits of m.at n=7A324404
- Number of ways to write n as an ordered sum of 7 prime powers (including 1).at n=13A341136
- Oblong numbers which are products of four distinct primes.at n=24A358988
- Number of partitions of n with rank a multiple of 7.at n=46A363239
- Indices k at which either the leading digit or the length of A121805(k) changes.at n=39A367358
- Oblong numbers of the form (k-1)*k where k is the product of an even number of distinct primes.at n=40A370495