5127
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6840
- Proper Divisor Sum (Aliquot Sum)
- 1713
- 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
- 3416
- Möbius Function
- 1
- Radical
- 5127
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 147
- 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
- Numbers that are the sum of 12 positive 10th powers.at n=5A004812
- Coordination sequence T1 for Zeolite Code EPI.at n=45A008090
- Coordination sequence T1 for Zeolite Code HEU.at n=47A008116
- Coordination sequence T4 for Zeolite Code HEU.at n=47A008119
- Coordination sequence T1 for Zeolite Code MTT.at n=44A008189
- n written in fractional base 9/5.at n=43A024653
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 0, 1, 1, 0.at n=21A025250
- Square of the lower triangular normalized partition matrix.at n=31A027516
- Number of n-celled polyplets having bilateral symmetry.at n=10A030234
- 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 23.at n=26A031521
- Matrix 10th power of partition triangle A008284.at n=22A050304
- Numbers k such that 2*7^k + 5 is prime.at n=14A059042
- Concatenation of n^3 and 7.at n=7A061679
- a(n) = Sum_{k=1..n} antisigma(k), where antisigma(i) = sum of the nondivisors of i that are between 1 and i.at n=31A076664
- Shorthand of n-th smallest n-digit prime, see comments.at n=48A107108
- Integers n such that 9*10^n + 11 is a prime number.at n=15A111023
- Sum of the differences between the largest part and smallest part over all partitions of n into distinct parts.at n=31A117455
- Start with 1013 and repeatedly reverse the digits and add 2 to get the next term.at n=14A120214
- Number of spiro bicyclic skeletons with n carbon atoms (see Parks et al. for precise definition).at n=7A121159
- Number of 3-overlap bipartite perfect graphs on n nodes.at n=8A123462