11251
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11252
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11250
- Möbius Function
- -1
- Radical
- 11251
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 161
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1360
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/5.at n=28A001135
- Solid partitions of n which are restricted to two planes.at n=13A002835
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 86 ones.at n=6A031854
- "AFK" (ordered, size, unlabeled) transform of 2,1,1,1,...at n=24A032006
- Positive numbers for which the sum of digits equals the product of digits.at n=33A034710
- Smallest prime == 1 mod (n^2).at n=24A035091
- Discriminants of imaginary quadratic fields with class number 17 (negated).at n=23A046014
- Primes resulting from procedure described in A048393.at n=16A048394
- Primes base 10 that remain primes in five bases b, 2<=b<=10, expansions interpreted as decimal numbers.at n=35A052029
- Primes p whose period of reciprocal equals (p-1)/5.at n=22A056210
- Primes with 13 as smallest positive primitive root.at n=27A061326
- Primes p such that the greatest prime divisor of p-1 is 5.at n=34A061599
- Numbers whose product of decimal digits equals its sum of binary digits.at n=19A064003
- Primes p such that (x1*x2*...*xk)^(x1+x2+...+xk) = (x1+x2+...+xk)^(x1*x2*...*xk) where x1x2...xk are the digits of p in base 10.at n=8A064157
- Integers m such that (x1*x2*..xk)^(x1+x2+..xk) = (x1+x2+..xk)^(x1*x2*..xk) where x1x2..xk are the digits of m in base 10.at n=36A064158
- Prime numbers such that sum of digits equals product of digits.at n=7A066306
- Primes which can be expressed as concatenation of cubes.at n=27A066592
- Primes which can be expressed as concatenation of powers of 5 and 0's.at n=16A066596
- Least k such that gcd(prime(k)+1, prime(k+1)+1) = 2n.at n=20A067603
- Primes p such that x^5 = 2 has a solution mod p, but x^(5^2) = 2 has no solution mod p.at n=6A070182