3529
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
- 2
- Divisor Sum
- 3530
- 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
- 3528
- Möbius Function
- -1
- Radical
- 3529
- 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
- 56
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 493
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of equivalence classes of n X n matrices over {0,1} with rows and columns summing to 4, where equivalence is defined by row and column permutations. Also number of isomorphism classes of bicolored quartic bipartite graphs, where isomorphism cannot exchange the colors.at n=8A000513
- Number of equivalence classes of n X n matrices over {0,1} with rows and columns summing to 5, where equivalence is defined by row and column permutations. Isomorphism classes of bicolored 5-regular bipartite graphs, where isomorphism cannot exchange the colors.at n=8A000516
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.at n=24A001134
- Centered triangular numbers: a(n) = 3*n*(n-1)/2 + 1.at n=48A005448
- Primes p == 1 (mod 8), p = a^2 + 64*b^2 such that y^2 = x^3 + p*x has rank 2.at n=44A007766
- Coordination sequence T1 for Zeolite Code NAT.at n=40A008203
- Coordination sequence T1 for Zeolite Code PHI.at n=43A008227
- 3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.at n=21A014755
- Numbers k such that the continued fraction for sqrt(k) has period 85.at n=1A020424
- Number of partitions of n into 6 unordered relatively prime parts.at n=40A023026
- Primes that remain prime through 2 iterations of the function f(x) = 3*x + 2.at n=38A023246
- Primes that remain prime through 2 iterations of function f(x) = 7x + 6.at n=42A023259
- Primes that remain prime through 3 iterations of function f(x) = 6x + 5.at n=29A023288
- Primes that remain prime through 3 iterations of function f(x) = 9x + 10.at n=19A023299
- Primes that remain prime through 4 iterations of function f(x) = 6x + 5.at n=7A023317
- Smallest prime in Goldbach partition of A025018(n).at n=44A025019
- Numbers whose least quadratic nonresidue (A020649) is 13.at n=8A025025
- Smallest prime containing n-th square as substring.at n=23A029948
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 24 ones.at n=40A031792
- Primes of form x^2 + 94*y^2.at n=29A033204