17549
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 21120
- Proper Divisor Sum (Aliquot Sum)
- 3571
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14256
- Möbius Function
- -1
- Radical
- 17549
- 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
- 141
- 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
- Number of partitions of n into a prime number of parts.at n=42A038499
- Gaps of 8 in sequence A038593 (lower terms).at n=12A038655
- a(n) = binomial(n+5,4) - 1.at n=22A063258
- Iccanobirt prime indices (3 of 15): Indices of prime numbers in A102113.at n=11A102133
- Sequence obtained using characteristic polynomial that is Laplace transform of the tribonacci characteristic polynomial: -s^4*L(t^3 -t^2 -t -1) = s^3 +s^2 +2*s -6.at n=20A107785
- Numerator of sum of reciprocals of first n 5-simplex numbers A000389.at n=22A118431
- a(n) = n^3 - n - 1.at n=25A126420
- an=n-th smallest integer m=p1*p2*p3, product of 3 odd primes such that d+2m/d are all primes for d dividing 2m.at n=14A128278
- Main diagonal of array A[k,n] = n-th sum of 3 consecutive k-gonal numbers, k>2.at n=22A130423
- Numbers n with property that n^2 is a concatenation of three 3-digit primes.at n=24A153139
- Products of three distinct happy primes A035497.at n=24A154717
- a(n) = 78*n^2 - 1.at n=14A158771
- Numerators b(n) of Pythagorean approximations b(n)/a(n) to 5/2.at n=2A195554
- Denominators a(n) of Pythagorean approximations b(n)/a(n) to 2/5.at n=5A195574
- Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 4 neighboring 1s.at n=6A297578
- T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 4 neighboring 1s.at n=51A297582
- Number of 7Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 4 neighboring 1s.at n=3A297588
- Numerators of r(n) := Sum_{k=0..n-1} 1/Product_{j=0..4} (k + j + 1), for n >= 0, with r(0) = 0.at n=23A300298
- Number of compositions (ordered partitions) of n into centered pentagonal numbers (A005891).at n=41A322801
- Triangle T(n,k) read by rows: number of rooted chains of length k in set partitions of n labeled points.at n=31A331956