17169
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 23520
- Proper Divisor Sum (Aliquot Sum)
- 6351
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11136
- Möbius Function
- -1
- Radical
- 17169
- 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
- Centered tetrahedral numbers.at n=29A005894
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Fibonacci numbers), t = (odd natural numbers).at n=24A024463
- a(n) = (2*n+1)*(10*n+1).at n=29A033574
- Numbers whose base-7 representation has exactly 6 runs.at n=10A043621
- Denominators of convergents to Pi by Farey fractions.at n=19A063673
- a(1) = 1, a(n+1) is the sum of a(n) and floor( arithmetic mean of a(1) ... a(n) ).at n=40A065094
- Triangle of numbers arising in recursive computation of A002212.at n=41A073149
- a(n) is the area of the triangle with sides prime(n), prime(n+2) and prime(n+4), rounded down to the nearest integer.at n=39A096384
- a(1)=1, a(n)=a(n-1)+n^2 if n odd, a(n)=a(n-1)+ n^3 if n is even.at n=17A140149
- Triangle T(n, k) = 4 * A008292(n+1, k) - 3, read by rows.at n=30A176204
- Triangle T(n, k) = 4 * A008292(n+1, k) - 3, read by rows.at n=33A176204
- Principal diagonal of the convolution array A213768.at n=12A213769
- Numbers k such that 36^k - 6^k - 1 is prime.at n=18A265484
- Number of alternating compositions of n, including twins (x,x).at n=22A344604
- Number of integer partitions of n with more than one part of least multiplicity.at n=37A362609
- Expansion of g.f. A(x) satisfying 3 = Sum_{n=-oo..+oo} (-1)^n * x^n * (3*A(x) + x^(2*n-1))^(n+1).at n=7A363183
- Number of chordal bipartite graphs on n unlabeled vertices.at n=10A371867