17129
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
- 4
- Divisor Sum
- 19584
- Proper Divisor Sum (Aliquot Sum)
- 2455
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14676
- Möbius Function
- 1
- Radical
- 17129
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- 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
- dot_product(n,n-1,...2,1)*(6,7,...,n,1,2,3,4,5).at n=36A026063
- Numerators in expansion of (1 - x)^(-1/x) / e.at n=4A106827
- A144325(n) + A144313(n) + A144315(n).at n=35A144715
- a(n) = prime(n)^2 - n.at n=31A182174
- Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01.at n=1A251060
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01.at n=7A251065
- Number of (2+1)X(n+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01.at n=2A251066
- Duplicate of A106827.at n=4A276977
- Number T(n,k) of ordered set partitions of [n] into k blocks such that equal-sized blocks are ordered with increasing least elements; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=40A285824
- Number of ordered set partitions of [n] into four blocks such that equal-sized blocks are ordered with increasing least elements.at n=4A285919
- Number of ordered set partitions of [2n] into n blocks such that equal-sized blocks are ordered with increasing least elements.at n=4A285926
- Number of colored integer partitions of n such that three colors are used and parts differ by size or by color.at n=18A327381
- Nearest integer to Integral_{x=0..n} x^x dx.at n=6A331122
- Numbers k such that the k-th run-length A110969(k) of the sequence of non-prime-powers (A024619) is different from all prior run-lengths.at n=45A373670
- Number of subsets of the first n nonzero tetrahedral numbers whose sum is a nonzero tetrahedral number.at n=22A378170