16001
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16002
- 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
- 16000
- Möbius Function
- -1
- Radical
- 16001
- 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
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1863
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that are palindromic in base 5.at n=25A029973
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 10.at n=21A031423
- a(n) = 2*n^3 + 1.at n=20A033562
- Good sequence of increments for Shell sort (best on big values).at n=11A033622
- Smallest k>1 such that k(p-1)-1 is divisible by p^2, p=n-th prime.at n=30A039914
- Denominators of continued fraction convergents to sqrt(62).at n=9A041109
- Denominators of continued fraction convergents to sqrt(248).at n=9A041465
- Denominators of continued fraction convergents to sqrt(558).at n=13A042069
- Denominators of continued fraction convergents to sqrt(645).at n=8A042239
- Primes of the form n*phi(n)-1 where phi is the Euler function (in order of appearance).at n=47A046078
- Primes that yield a different prime when rotated by 180 degrees.at n=37A048890
- Bemirps: primes that yield a different prime when turned upside down with reversals of both being two more different primes.at n=6A048895
- Primes p from A031924 such that A052180(primepi(p)) = 13.at n=25A052233
- Primes associated with A052507.at n=43A052480
- Primes p for which the period of reciprocal = (p-1)/8.at n=25A056213
- Sum of partial sums of partition numbers (A026905) and partial sums of numbers of partitions into distinct parts (A026906).at n=26A056871
- Primes p such that the greatest prime divisor of p-1 is 5.at n=37A061599
- Smallest prime containing the n-th square in decimal notation.at n=39A065144
- Smallest prime that begins with the n-th square in decimal notation.at n=39A065145
- Primes which can be expressed as concatenation of powers of 4 and 0's.at n=16A066595