16903
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16904
- 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
- 16902
- Möbius Function
- -1
- Radical
- 16903
- 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
- 203
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1950
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BOG = Boggsite Na4Ca7[Al18Si78O192].74H2O starting with a T3 atom.at n=13A019081
- Recip transform of 2*(1 + x^4 + x^5 + x^6)-1/(1-x).at n=8A049169
- Primes of the form k^2 + 3.at n=21A049423
- Integers i > 1 for which there is no prime p such that i is a solution mod p of x^4 = 2.at n=29A065903
- The first of two consecutive primes with equal digital sums.at n=40A066540
- Integer part of square root of the reciprocal of a number multiplied by 10 to the power of the integer part of the square root of the number.at n=34A089245
- Primes which are also prime if their base 64 representation is interpreted as a base 10 number.at n=37A090717
- Numbers n such that the sum of the digits of sigma(n)^phi(n) is divisible by n.at n=14A109669
- Duplicate of A049423.at n=21A121825
- Prime sums of 4 positive 5th powers.at n=15A123033
- The upper twin prime whose lower member has a prime index.at n=39A129782
- Prime numbers p for which the quintic polynomial x^5 - x - 1 modulo p completely factors into linear polynomials.at n=8A135844
- Prime numbers p not of the form 10*k+1 for which the quintic polynomial x^5-x-1 modulus p is factorizable into five binomials.at n=5A135845
- Primes congruent to 49 mod 53.at n=36A142579
- Primes congruent to 29 mod 59.at n=36A142756
- Primes congruent to 6 mod 61.at n=33A142804
- Primes p such that p-1 and p+1 each contain at least one cubed prime in their prime factorization.at n=23A162870
- a(n) = 33*2^(n+1) + 7.at n=8A196655
- Primes of the form 33*2^n + 7.at n=5A196656
- Primes p such that p and p+18 are consecutive primes with equal digital sum.at n=39A209875