15901
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15902
- 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
- 15900
- Möbius Function
- -1
- Radical
- 15901
- 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
- 53
- 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
- 1853
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that p, p+6, p+12, p+18 are all primes.at n=31A023271
- Primes that remain prime through 3 iterations of function f(x) = 3x + 8.at n=14A023279
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 50.at n=1A031638
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 78 ones.at n=13A031846
- Initial prime in set of 4 consecutive primes with common difference 6.at n=11A033451
- Numbers whose base-5 representation contains exactly three 0's and three 1's.at n=38A045172
- First term of balanced prime quartets: p(m+1)-p(m) = p(m+2)-p(m+1) = p(m+3)-p(m+2).at n=11A054800
- Prime lucky numbers k (from A031157) such that nextprime(k)=nextlucky(k).at n=23A057698
- Primes p such that x^53 = 2 has no solution mod p.at n=32A059258
- Smallest prime p such that x = n is a solution mod p of x^3 = 2, or 0 if no such prime exists.at n=41A059940
- Leading diagonal of triangle in A072467.at n=19A072468
- Primes p such that the differences between the 5 consecutive primes starting with p are (6,6,6,4).at n=1A078969
- Primes p such that p, p+6, p+12, p+18 are consecutive primes and p = 6*k+1 for some k.at n=4A090837
- Duplicate of A033451.at n=11A099734
- Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 6.at n=34A119597
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having height of the first peak equal to k (1 <= k <= n).at n=49A128744
- Prime numbers p such that p +- ((p-1)/5) are primes.at n=12A137714
- Primes congruent to 25 mod 49.at n=39A142435
- Primes congruent to 30 mod 59.at n=31A142757
- Primes congruent to 41 mod 61.at n=30A142839