3119
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3120
- 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
- 3118
- Möbius Function
- -1
- Radical
- 3119
- 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
- 48
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 444
- 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=28A001126
- Describe the previous term! (method A - initial term is 9).at n=3A001154
- Coordination sequence T2 for Zeolite Code APD.at n=37A008035
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite HEU = Heulandite Ca4[Al8Si28O72].24H2O starting with a T3 atom.at n=11A019136
- Numbers k such that the continued fraction for sqrt(k) has period 60.at n=9A020399
- a(n)-th squarefree is sum of first k squarefrees for some k.at n=47A020643
- Let q_k=p(p+2) be product of k-th pair of twin primes; sequence gives values of p such that (q_k)^2 > q_{k-i}q_{k+i} for all 1 <= i <= k-1.at n=27A021005
- Ordered sequence of distinct terms of the form floor(x^i * floor(x^j)), i,j >= 0, where x = sqrt(5).at n=27A022770
- Primes that remain prime through 2 iterations of function f(x) = 4x + 3.at n=39A023250
- Primes that remain prime through 2 iterations of function f(x) = 7x + 6.at n=40A023259
- Primes that remain prime through 3 iterations of function f(x) = 4x + 3.at n=12A023281
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t = A000032 (Lucas numbers).at n=12A023861
- Right-truncatable primes: every prefix is prime.at n=32A024770
- Numbers whose least quadratic nonresidue (A020649) is 7.at n=43A025023
- 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 55.at n=8A031553
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 28 ones.at n=19A031796
- Primes of form x^2 + 94*y^2.at n=25A033204
- Primes of form x^2+62*y^2.at n=26A033240
- Numbers having four 4's in base 5.at n=15A043368
- Numbers k such that the string 4,5 occurs in the base 9 representation of k but not of k-1.at n=42A044292