10141
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10142
- 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
- 10140
- Möbius Function
- -1
- Radical
- 10141
- 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
- 86
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1245
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Left diagonal of partition triangle A047812.at n=31A007042
- Numbers n such that 2^n + 2^((n + 1)/2) + 1 is prime.at n=11A007671
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 60 ones.at n=21A031828
- Numbers whose base-10 representation has exactly 5 runs.at n=28A043641
- Least prime in A031928 (lesser of 10-twins) whose distance to the next 10-twin is 6*n.at n=25A052354
- Numbers n such that (1+i)^n - 1 times its conjugate is prime.at n=25A057429
- Number of conjugacy classes in the symmetric group S_n that have even number of elements.at n=32A060643
- Primes starting and ending with 1.at n=42A062332
- Primes whose sum of digits is 7.at n=30A062337
- Primes which can be expressed as concatenation of powers of 4 and 0's.at n=10A066595
- Centered 13-gonal numbers.at n=39A069126
- Smallest prime p such that Product_{primes q <= p} q+1 >= n*Product_{primes q <= p} q.at n=9A072997
- Balanced primes of order four.at n=10A082079
- a(n) = n^3 - n^2 - n - 1.at n=22A083074
- Primes p such that (p-11)/10 is also a prime.at n=43A089442
- Primes of the form prime(2k) followed by prime(k).at n=3A089786
- Value of C in y = x^2 + 9x + C such that y is prime for all x = 0 to 5.at n=12A097437
- Primes of the form 37n+3.at n=37A100203
- Numbers m such that (1+i)^m - i is a Gaussian prime.at n=24A103329
- Conjectured numbers n such that the trajectory of n as defined in A003508 is unique.at n=39A105233