5122
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
- 8
- Divisor Sum
- 8316
- Proper Divisor Sum (Aliquot Sum)
- 3194
- 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
- 2352
- Möbius Function
- -1
- Radical
- 5122
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 147
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Sum of 12 positive 9th powers.at n=10A004801
- Numbers that are the sum of 7 positive 10th powers.at n=5A004807
- Numbers that are the sum of at most 7 nonzero 10th powers.at n=32A004902
- Numbers that are the sum of at most 8 nonzero 10th powers.at n=37A004903
- Numbers that are the sum of at most 10 nonzero 10th powers.at n=47A004905
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=34A005735
- Coordination sequence T1 for Zeolite Code FER.at n=44A008106
- Coordination sequence for CaF2(1), F position.at n=24A009924
- Coordination sequence for CaF2(2), F position.at n=32A009925
- a(0) = 1, a(n) = 5*n^2 + 2 for n>0.at n=32A010001
- a(0) = 1, a(n) = 20*n^2 + 2 for n>0.at n=16A010010
- Expansion of 1/(1-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18).at n=55A017876
- Numbers k such that the continued fraction for sqrt(k) has period 13.at n=30A020352
- n written in fractional base 9/5.at n=38A024653
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 15.at n=2A031603
- a(n)=(s(n)+2)/9, where s(n)=n-th base 9 palindrome that starts with 7.at n=22A043078
- a(n)=(s(n)+5)/10, where s(n)=n-th base 10 palindrome that starts with 5.at n=34A043084
- Positions where number of periodic partitions increases.at n=32A059994
- L_2 norm of vertices of Permuto-Associahedron in R^n.at n=5A071171
- a(n) = 2*(n-1)*(n^2 + 1).at n=13A071233