5935
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7128
- Proper Divisor Sum (Aliquot Sum)
- 1193
- 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
- 4744
- Möbius Function
- 1
- Radical
- 5935
- 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
- 98
- Smith Number
- yes
- 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
- Sequence satisfies T^2(a)=a, where T is defined below.at n=49A027596
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 15.at n=40A031513
- Smaller of Smith brothers.at n=4A050219
- Numbers k such that k^16 == 1 (mod 17^3).at n=22A056088
- Numbers k such that k divides (prime(3*k) - prime(2*k)).at n=14A066893
- a(n) = a(n-1) + sum of decimal digits of n^n.at n=43A071421
- Expansion of 1/((1-x)*(1+2*x-2*x^2-2*x^3)).at n=10A077915
- Number of compositions of n into 5 parts such that no two adjacent parts are equal.at n=17A106354
- Numbers k such that k and k^2 use only the digits 2, 3, 4, 5 and 9.at n=12A137070
- Number of triples (p,q,r) of primes with p<q<r<=prime(n), p+q>r, q+r>p and r+p>q.at n=46A138226
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, 0), (-1, 1), (0, -1), (0, 1), (1, -1), (1, 1)}.at n=7A151484
- Triangle T(n, k, j) = T(n-1, k, j) + T(n-1, k-1, j) + (2*j + 1)*prime(j)*T(n-2, k-1, j) with T(2, k, j) = prime(j) and j = 7, read by rows.at n=16A153652
- Triangle T(n, k, j) = T(n-1, k, j) + T(n-1, k-1, j) + (2*j + 1)*prime(j)*T(n-2, k-1, j) with T(2, k, j) = prime(j) and j = 7, read by rows.at n=19A153652
- a(n) = 3*n^2 + 3*n - 5.at n=43A166143
- Partial sums of A137442.at n=49A167390
- Smith numbers of order 2.at n=26A174460
- Numbers n > 1 such that log_10(n!) is closer to an integer than at any smaller n.at n=11A177901
- Numbers k such that 210*k+{11, 13, 17, 19, 23, 29} are 6 consecutive primes.at n=7A182282
- Number of 2n-bead necklaces labeled with numbers 1..5 not allowing reversal, with neighbors differing by exactly 1.at n=9A208724
- Number of n-bead necklaces labeled with numbers -7..7 not allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2.at n=4A209114