5507
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5508
- 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
- 5506
- Möbius Function
- -1
- Radical
- 5507
- 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
- 129
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 728
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of 5-dimensional partitions of n.at n=7A000390
- Coordination sequence T11 for Zeolite Code MFI.at n=47A008163
- Smallest nonempty set S containing prime divisors of 9k+5 for each k in S.at n=26A020627
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 4.at n=35A023253
- 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 73.at n=17A031571
- Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k.at n=36A033548
- Number of partitions of n into parts not of the form 15k, 15k+4 or 15k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 6 are greater than 1.at n=33A035958
- Discriminants of imaginary quadratic fields with class number 23 (negated).at n=17A046020
- Primes p such that p^12 reversed is also prime.at n=16A059705
- a(1) = 2; a(n) is the smallest prime > a(n-1) such that a(n) + a(n-1) is a square.at n=11A062064
- Primes p for which the exponent of the highest power of 2 dividing p! is equal to prevprime(prevprime(p)).at n=23A064396
- Lonely non-twin primes: non-twins sandwiched between two pairs of twins.at n=29A068016
- a(n) = A077696(n+1)/A077696(n).at n=7A077697
- Primes equal to floor(Pi*x) where x is prime.at n=36A079593
- Primes that are the sum of 7 consecutive primes.at n=40A082246
- Members of A083989 whose 10's complement is also a member of A083989.at n=14A083991
- Largest integer not expressible as a nonnegative linear combination of n and n^2 + 1.at n=17A087908
- a(n) = prime(3^n - 1).at n=5A095120
- Greatest members p of prime triples (p-6, p-4, p).at n=43A098412
- Let p = prime(sigma(n)) and q = prime(phi(n)), then p is in the sequence if p-q = 6.at n=14A103176