5050
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- yes
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9486
- Proper Divisor Sum (Aliquot Sum)
- 4436
- 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
- 2000
- Möbius Function
- 0
- Radical
- 1010
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 41
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- a(n) = n + n*(n-1)*(n-2)*(n-3).at n=10A001094
- Coefficients of period polynomials.at n=24A006308
- Kaprekar numbers: positive numbers n such that n = q+r and n^2 = q*10^m+r, for some m >= 1, q >= 0 and 0 <= r < 10^m, with n != 10^a, a >= 1.at n=12A006886
- Coordination sequence for {A_4}* lattice.at n=10A008531
- a(n) = p*(p-1)/2 for p = prime(n).at n=25A008837
- Positive integers n such that n | (2^n + n/2 + 1).at n=7A015945
- Numbers k such that k | 3^k + 1.at n=6A015949
- Numbers k such that k | 7^k + 1.at n=7A015954
- a(n) = binomial coefficient C(n,99).at n=2A017763
- Smallest triangular number that begins with n.at n=49A018855
- Numbers k such that the continued fraction for sqrt(k) has period 19.at n=31A020358
- n written in fractional base 10/5.at n=50A024660
- a(n) = 2*n*(4*n + 1).at n=25A033585
- Expansion of Product_{d | 48} theta_3(q^d).at n=50A033760
- 4-white numbers: partition digits of n^4 into blocks of 4 starting at right; sum of these 4-digit numbers equals n.at n=3A037044
- a(n) = 10^n*(10^n+1)/2.at n=2A037156
- a(n) = n^2*(n^2 + 1)/2.at n=10A037270
- Can express a(n) with the digits of a(n)^2 in order, only adding plus signs.at n=42A038206
- Numerators of continued fraction convergents to sqrt(120).at n=4A041218
- Numbers k that divide 4^k + 2^k or 8^k + 4^k.at n=34A045577