6935
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8880
- Proper Divisor Sum (Aliquot Sum)
- 1945
- 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
- 5184
- Möbius Function
- -1
- Radical
- 6935
- 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
- 150
- 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
- a(n) = (n+2)*(n+1)*(n^2 + 7*n - 12)/24.at n=17A014309
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BOG = Boggsite Na4Ca7[Al18Si78O192].74H2O starting with a T3 atom.at n=12A019081
- Number of primes less than 10000n.at n=6A038813
- a(n)^3 is smallest cube containing exactly n 3's.at n=5A048368
- a(n) = Sum_{k=1..n, m=1..k} T(m,k); array T as in A049828.at n=42A049830
- a(n) = Sum{a(k): k=0,1,2,...,n-4,n-2,n-1}; a(n-3) is not a summand; initial terms are 2,3,4.at n=14A049876
- Number of 6-bead necklaces where each bead is an unlabeled rooted tree, by total number of nodes.at n=10A058855
- Numbers k such that k and its reversal are both multiples of 19.at n=23A062907
- Non-palindromic number and its reversal are both multiples of 19.at n=14A062916
- Least k such that k*10^n-9, k*10^n-7, k*10^n-3 and k*10^n-1 are all prime.at n=12A064432
- Duplicate of A064432.at n=12A064972
- a(n) = floor((-1)^n*n!*(E(n,2)-E(n,1)*E(n-1,1))) where E(n,x) = Sum_{k=0..n} (-1)^k*x^k/k!.at n=16A065955
- Total number of square parts in all partitions of n.at n=24A073336
- Numbers in increasing order such that successive sums are squares and successive differences are squarefree.at n=45A090956
- Square of triangular matrix A104445, read by rows, where X=A104445 satisfies: SHIFT_LEFT_UP(X) = X^2 - X + I.at n=45A104446
- a(n) = a(n-1) + a(n-3) + a(n-4), n >= 4, with initial terms 2,5,4,7.at n=17A111570
- Egyptian fraction representation for the cube root of 13.at n=2A132489
- a(n) = 6*n^2 - 1.at n=34A140811
- a(n) = n*(n^2+4).at n=19A155965
- a(n) = 289*n - 1.at n=23A158253