7169
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7344
- Proper Divisor Sum (Aliquot Sum)
- 175
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6996
- Möbius Function
- 1
- Radical
- 7169
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 75
- 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
- Numbers that are the sum of 8 positive 10th powers.at n=7A004808
- Numbers k such that sigma(k+2) = sigma(k).at n=16A007373
- Numbers k such that the continued fraction for sqrt(k) has period 74.at n=17A020413
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 2 and 4 (mod 5).at n=57A035589
- a(n) = T(6,n), array T given by A048472.at n=8A048478
- Composite and every divisor (except 1) contains the digit 7.at n=36A062676
- Solutions to phi(x + omega(x)) = phi(x) + d(x), where phi() = A000010(), d() = A000005() and omega() = A001221().at n=4A063868
- Numbers k such that A065608(k) = A065608(k+2).at n=9A065064
- a(n) = 512*n + 1.at n=14A076338
- Expansion of (1-x)^(-1)/(1-2*x+2*x^3).at n=18A077853
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={0,2,3}.at n=36A079955
- a(0) = 8; for n>0, a(n) = 2*a(n-1) - 1.at n=10A083686
- a(n) = n-th element of n-th row of triangle shown below.at n=14A115025
- Number of ways to place zero or more nonadjacent 0,0 1,0 2,1 3,2 3,3 4,2 5,2 6,3 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155425
- a(n) = 256*n + 1.at n=27A158231
- a(n) = 28*n^2 + 1.at n=16A158556
- a(n) = 10*a(n-1) - 17*a(n-2) for n > 1; a(0) = 1, a(1) = 13.at n=4A164609
- Triangle T(n,k) = 1 - A176337(k) - A176337(n-k) + A176337(n) read by rows.at n=19A176339
- Triangle T(n,k) = 1 - A176337(k) - A176337(n-k) + A176337(n) read by rows.at n=16A176339
- Parameters n for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3-n has order 16.at n=35A179140