16301
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16302
- 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
- 16300
- Möbius Function
- -1
- Radical
- 16301
- 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
- 159
- 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
- 1892
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 4x + 9.at n=39A023282
- Numbers whose base-5 representation has exactly 7 runs.at n=16A043607
- Primes such that the sum of the factorials of the digits is a perfect square.at n=31A052279
- Second term of strong prime 5-tuples: p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2).at n=37A054809
- Primes p whose period of reciprocal equals (p-1)/5.at n=33A056210
- Numbers k such that 33^k - 32^k is prime.at n=4A062599
- Primes p such that p^2+p-1 and p^2+p+1 are twin primes.at n=41A088483
- Primes of the form k^3 + (k+1)^2.at n=13A100662
- a(n) = n^3 + (n+1)^2.at n=25A100705
- Negative numbers written in a bits-of-Pi/primorial base system.at n=12A109839
- a(1) = 7, a(n) = least k such that concatenation of n copies of k with all previous concatenation gives a prime.at n=37A111475
- Smallest prime p=prime(k) such that there exist numbers i and j with prime(k-1) < i < p < j < prime(k+1) and gcd(i,j)=n.at n=38A117392
- Prime numbers p such that 2*p+1, p*(p + 1) - 1 and p*(p + 1) + 1 are also primes.at n=16A136015
- Prime numbers, isolated from neighboring primes by >14.at n=23A137874
- Prime numbers, isolated from neighboring primes by >16.at n=12A137875
- Primes p1 such that p1^3+p2^2=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2.at n=12A138735
- Primes congruent to 30 mod 53.at n=37A142560
- Primes congruent to 17 mod 59.at n=33A142744
- Primes congruent to 14 mod 61.at n=30A142812
- Primes p such that p^3 + p^2 - 1 and p^3 + p^2 + 1 are prime.at n=40A160859