3511
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3512
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 3510
- Möbius Function
- -1
- Radical
- 3511
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 43
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 490
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 7 as smallest primitive root.at n=33A001126
- Wieferich primes: primes p such that p^2 divides 2^(p-1) - 1.at n=1A001220
- Coordination sequence T2 for Zeolite Code AET.at n=41A008008
- Coordination sequence T1 for Zeolite Code APC.at n=41A008032
- Coordination sequence T3 for Zeolite Code DDR.at n=37A008073
- Coordination sequence T4 for Zeolite Code MEI.at n=43A008149
- a(0) = 1, a(n) = 29*n^2 + 2 for n>0.at n=11A010019
- Expansion of 1/((1-x)(1-6x)(1-12x)).at n=3A016248
- n-th prime p(k) such that p(k) + p(k+9) = p(k+3) + p(k+6).at n=40A022893
- Expansion of 1/((1-x)^2(1-x^2)(1-x^3)(1-x^5)) in powers of x.at n=34A028291
- 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 59.at n=3A031557
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 42 ones.at n=8A031810
- Upper prime of a difference of 12 between consecutive primes.at n=35A031931
- Numbers whose square contains no loops in its digits (assumes 1, 2, 3, 5, 7 have no loops and 0, 4, 6, 8, 9 do).at n=38A034905
- Number of partitions of n into parts not of the form 21k, 21k+5 or 21k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=29A035983
- Primes corresponding to A046411.at n=30A038514
- Irregular triangle read by rows: T(n,k) = number of orbits of order exactly k under doubling map which remain in a semicircle, with k dividing n.at n=54A038870
- Numbers having three 6's in base 8.at n=24A043447
- Numbers n such that string 1,1 occurs in the base 10 representation of n but not of n-1.at n=35A044343
- Numbers n such that string 1,1 occurs in the base 10 representation of n but not of n+1.at n=35A044724