5126
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8424
- Proper Divisor Sum (Aliquot Sum)
- 3298
- 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
- 2320
- Möbius Function
- -1
- Radical
- 5126
- 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
- 54
- 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
- Partial sums of (unordered) ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=50A000064
- A sequence satisfying (a(2n+1) + 1)^3 = Sum_{k=1..2n+1} a(k)^3.at n=3A000956
- Numbers that are the sum of 11 positive 10th powers.at n=5A004811
- Coordination sequence T2 for Zeolite Code DDR.at n=45A008072
- If a, b in sequence, so is ab+10.at n=26A009368
- Fibonacci sequence beginning 0, 22.at n=13A022356
- n written in fractional base 9/5.at n=42A024653
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=43A024840
- 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 70.at n=17A031568
- Number of balanced partitions of n: the largest part equals the number of parts.at n=45A047993
- a(n) = Sum_{k=1..n, m=1..k} T(m,k); array T as in A049828.at n=38A049830
- Fifth spoke of a hexagonal spiral.at n=41A056109
- Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x.at n=34A063948
- Numbers k such that sopf(k) = sopf(k+3), where sopf(k) = A008472(k).at n=9A063969
- a(n) = min( x : x^3 + n^3 == 0 mod (x+n-1) ).at n=41A066486
- Sum of diagonal elements and those below it for a square matrix of integers, starting with 1.at n=10A066804
- Least nontrivial multiple of the n-th prime beginning with 5.at n=50A078289
- Reverse of k concatenated with k, divided by k, where k = A083970(n).at n=50A083971
- Positions of 9 in partition of decimal expansion of Pi A104807.at n=16A104809
- Partial sums of A109890.at n=50A109735