11527
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11528
- 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
- 11526
- Möbius Function
- -1
- Radical
- 11527
- 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
- 99
- 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
- 1390
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Apply partial sum operator 4 times to partition numbers.at n=13A014161
- n-th occurrence of gap of n between primes occurs at prime a(n), n even, n >= 2.at n=10A054587
- Primes p such that q-p = 22, where q is the next prime after p.at n=21A061779
- Primes p having exactly one partition into distinct divisors of p+1.at n=31A085499
- Primes of the form 6n^2 - 2n - 1.at n=16A099007
- Primes of the form Sum_{k=1..n} phi(prime(k)).at n=14A101302
- Primes p such that 2*p-27, 2*p+27, 2*p-33 and 2*p+33 are primes or -1 times primes.at n=21A103807
- Primes p such that 6p + 7 is a square.at n=36A110014
- Expansion of (17-25*x-23*x^2+133*x^3)/(1-x)^4.at n=10A118587
- Number of peaks at odd level in all nondecreasing Dyck paths of semilength n. A nondecreasing Dyck path is a Dyck path for which the sequence of the altitudes of the valleys is nondecreasing.at n=9A121483
- Primes congruent to 20 mod 37.at n=40A142129
- Primes congruent to 6 mod 41.at n=35A142203
- Primes congruent to 3 mod 43.at n=34A142252
- Primes congruent to 12 mod 47.at n=29A142363
- Primes congruent to 12 mod 49.at n=27A142424
- Primes congruent to 1 mod 51.at n=42A142476
- Primes congruent to 26 mod 53.at n=22A142556
- Primes congruent to 32 mod 55.at n=35A142624
- Primes congruent to 13 mod 57.at n=41A142673
- Primes congruent to 22 mod 59.at n=25A142749