15877
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15878
- 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
- 15876
- Möbius Function
- -1
- Radical
- 15877
- 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
- 146
- 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
- 1849
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form k^2 + 1.at n=23A002496
- Primorial -1 primes: primes p such that -1 + product of primes up to p is prime.at n=17A006794
- a(n) = prime(n^2).at n=42A011757
- Primes with property that when cubed all even digits occur together and all odd digits occur together.at n=25A030482
- Smallest denominator d such that the Sylvester expansion of n/d has n terms.at n=17A048860
- Prime number spiral (clockwise, Northwest spoke).at n=21A053999
- Totient(n) and cototient(n) are squares.at n=44A054754
- Odd powers of primes of the form q = x^2 + 1 (A002496).at n=32A054755
- Numbers whose divisors have the form m^k + 1, k>1.at n=25A054964
- Erroneous version of A006794.at n=16A055511
- Numbers n such that sum of digits of n equals the sum of digits of n^3.at n=29A070276
- Primes of the form m*rad(m)+1, where rad = A007947 (squarefree kernel).at n=37A078324
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4, 6, 2]; short d-string notation of pattern = [462].at n=25A078851
- a(n) is the largest prime of the form x^2 + 1 <= 2^n.at n=13A083849
- Primes obtained as the product of successive terms of A084039 + 1, i.e., a(n) = A084039(n)*A084039(n+1) + 1.at n=33A084040
- Primes obtained as the product of successive terms of A084039 + 1, i.e., a(n) = A084039(n)*A084039(n+1) + 1.at n=35A084040
- Prime(p^2) where p = prime(n).at n=13A096327
- Primes of the form 4*k^2 + 1.at n=22A121326
- Prime numbers p such that the sum of the digits of p equals the sums of the digits of p^3.at n=4A124667
- Primes in the sequence a(n)=n^2+3/2-1/2*(-1)^n.at n=37A125557