2935
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3528
- Proper Divisor Sum (Aliquot Sum)
- 593
- 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
- 2344
- Möbius Function
- 1
- Radical
- 2935
- 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
- 141
- 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
- G.f.: 1/((1-x)*(1-x^2)*(1-x^3)^2*(1-x^4)*(1-x^5)).at n=33A003402
- Expansion of (1+x^5)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=57A008766
- a(n) = floor( n*(n-1)*(n-2)/29 ).at n=45A011911
- Expansion of 1/((1-3x)*(1-6x)*(1-10x)).at n=3A017952
- Numbers k such that the continued fraction for sqrt(k) has period 44.at n=24A020383
- a(n) = (d(n)-r(n))/5, where d = A026057 and r is the periodic sequence with fundamental period (1,0,3,1,0).at n=37A026059
- a(n) = A027113(n, 2n-1).at n=8A027119
- Numbers k such that k^2+k+8 is a palindrome.at n=5A027724
- Numbers k such that the continued fraction for sqrt(k) has even period 2*m and the m-th term of the periodic part is 9.at n=35A031412
- Concatenation of n and n + 6 or {n,n+6}.at n=28A032611
- Expansion of Sum_{n>=0} (q^n / Product_{k=1..n+4} (1 - q^k)).at n=23A035300
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 1 (mod 3).at n=40A035537
- Coordination sequence T2 for Zeolite Code STT.at n=36A038423
- a(n)=(s(n)+5)/9, where s(n)=n-th base 9 palindrome that starts with 4.at n=22A043075
- Numbers n such that string 3,5 occurs in the base 10 representation of n but not of n-1.at n=32A044367
- Numbers n such that string 3,5 occurs in the base 10 representation of n but not of n+1.at n=32A044748
- Min[x] composite zero site for sigma(x+6^n) - sigma(x) - 6^n.at n=5A055036
- Sum of a(n) terms of 1/k^(3/4) first exceeds n.at n=26A056179
- Composite and every divisor (except 1) contains the digit 5.at n=25A062672
- Numbers k such that the sum of digits of k^k is a square.at n=33A066236