17507
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 20832
- Proper Divisor Sum (Aliquot Sum)
- 3325
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14400
- Möbius Function
- -1
- Radical
- 17507
- Omega Function (Ω)
- 3
- 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
- 79
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers whose base-4 representation has exactly 8 runs.at n=11A043599
- Numbers n such that number of runs in the base 4 representation of n is congruent to 1 mod 7.at n=32A043844
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 8.at n=11A043850
- Numbers n such that number of runs in the base 4 representation of n is congruent to 8 mod 9.at n=11A043866
- Numbers k such that number of runs in the base 4 representation of k is congruent to 8 mod 10.at n=11A043875
- Partial sums of A048697.at n=9A048773
- Number of asymmetric types of (3,n)-hypergraphs under action of symmetric group S_3.at n=12A055536
- Integers k > 10577 such that the 'Reverse and Add!' trajectory of k joins the trajectory of 10577.at n=6A063434
- Number of polyominoes consisting of 7 regular unit n-gons.at n=8A103473
- Numbers n such that primorial(n)/2 + 32 is prime.at n=28A139445
- 7 times pentagonal numbers: a(n) = 7*n*(3*n-1)/2.at n=41A152744
- Let f(p,i) = smallest prime m >= p such that m == i (mod p); a(n) = Sum_{i=0..p-1} f(p,i), where p = n-th prime.at n=17A243076
- Odd squarefree numbers n > 1 such that lambda(n)^2 = phi(n), where lambda is the Carmichael lambda function and phi is Euler's totient function.at n=18A276980
- Maximally idempotent integers with three or more factors.at n=29A306812
- Numbers k such that phi(k) and phi(k+1) are perfect powers (A001597).at n=40A332008
- Products p*q*r of three distinct primes such that (p*q) mod r, (p*r) mod q and (q*r) mod p are all prime.at n=20A338704