3127
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3240
- Proper Divisor Sum (Aliquot Sum)
- 113
- 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
- 3016
- Möbius Function
- 1
- Radical
- 3127
- 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
- 154
- 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
- Smallest k such that the product of q/(q-1) over the primes from prime(n) to prime(n+k-1) is greater than 2.at n=37A001276
- Numbers that are the sum of 3 positive 5th powers.at n=20A003348
- Numbers that are the sum of at most 3 positive 5th powers.at n=37A004843
- a(n) = ceiling(n*phi^13), where phi is the golden ratio, A001622.at n=6A004968
- a(n) = A259095(2n,n).at n=17A005575
- Products of 2 successive primes.at n=15A006094
- Crystal ball sequence for diamond.at n=15A007904
- Coordination sequence T1 for Zeolite Code DDR.at n=35A008071
- Coordination sequence T3 for Zeolite Code MEL.at n=36A008152
- a(0) = 1, a(n) = 5*n^2 + 2 for n>0.at n=25A010001
- Number of solutions to c(1)*prime(4) + ... + c(n)*prime(n+3) = 1, where c(i) = +-1 for i>1, c(1) = 1.at n=20A022904
- a(n) = (d(n)-r(n))/2, where d = A026037 and r is the periodic sequence with fundamental period (1,0,0,1).at n=24A026038
- Sequence satisfies T^2(a)=a, where T is defined below.at n=46A027585
- Product of next 2 primes after n.at n=47A030661
- Product of next 2 primes after n.at n=48A030661
- Product of next 2 primes after n.at n=46A030661
- Product of next 2 primes after n.at n=49A030661
- Squares of primes or products of pairs of consecutive primes.at n=31A033476
- Coordination sequence T3 for Zeolite Code SBE.at n=45A033606
- Maximal base 5 run length is 4.at n=37A037983