11959
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11960
- 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
- 11958
- Möbius Function
- -1
- Radical
- 11959
- 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
- 55
- 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
- 1434
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes followed by a [10,2,10] prime difference pattern of A001223.at n=16A052376
- Numbers k such that 30*R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=21A055520
- a(n) = A084022(n)/n.at n=4A084023
- Tribonacci numbers that start with first three squares.at n=14A086192
- Expansion of (1 + 2*x^3)/(1 - x - 4*x^7).at n=27A098528
- Beginning with 3, least member of A007500 such that concatenation of first n terms and its digit reversal both are primes.at n=8A111383
- Numbers k such that the concatenation of n successive descending digits (1,0,9,8,7,...) starting with 1 is prime.at n=11A120828
- Prime sums of 6 positive 5th powers.at n=22A123035
- Primes in A023108(n); or Lychrel primes.at n=29A135316
- Primes that are simultaneously of the forms 24i+7 and 7j+24.at n=31A137657
- Primes of the form 55x^2+10xy+199y^2.at n=20A140632
- Primes congruent to 8 mod 37.at n=35A142117
- Primes congruent to 28 mod 41.at n=33A142225
- Primes congruent to 5 mod 43.at n=34A142254
- Primes congruent to 21 mod 47.at n=33A142372
- Primes congruent to 3 mod 49.at n=35A142416
- Primes congruent to 34 mod 53.at n=28A142564
- Primes congruent to 24 mod 55.at n=35A142618
- Primes congruent to 46 mod 57.at n=36A142693
- Primes congruent to 41 mod 59.at n=20A142768