5051
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5052
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 5050
- Möbius Function
- -1
- Radical
- 5051
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 85
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 676
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = prime(n^2).at n=25A011757
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=30A020397
- Primes that remain prime through 2 iterations of function f(x) = 3x + 8.at n=47A023248
- Primes that remain prime through 3 iterations of function f(x) = 2x + 9.at n=14A023276
- Primes that remain prime through 3 iterations of function f(x) = 3x + 8.at n=5A023279
- n written in fractional base 10/5.at n=51A024660
- Primes formed by concatenating n with n+1.at n=6A030458
- Pair up the numbers.at n=25A030656
- 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 71.at n=1A031569
- Sequence (a(n): n >= 1) that shifts left 2 places under the "CIK" (necklace, indistinct, unlabeled) transform and satisfies a(1) = a(2) = 1.at n=14A032202
- Trajectory of 1 under map n->37n+1 if n odd, n->n/2 if n even.at n=25A033974
- Number of partitions of n into parts not of the form 17k, 17k+2 or 17k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 7 are greater than 1.at n=35A035963
- Smallest prime > n!.at n=6A037151
- Smallest prime > n!+1.at n=6A037152
- Denominators of continued fraction convergents to sqrt(278).at n=7A041523
- Numerators of continued fraction convergents to sqrt(474).at n=7A041904
- a(n)=(s(n)+5)/10, where s(n)=n-th base 10 palindrome that starts with 5.at n=27A043084
- Primes with first digit 5.at n=23A045711
- Number of partitions of 5n with equal number of parts congruent to each of 0, 1, 2, 3 and 4 (mod 5).at n=14A046776
- Primes whose consecutive digits differ by 4 or 5.at n=18A048416