16829
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16830
- 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
- 16828
- Möbius Function
- -1
- Radical
- 16829
- 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
- 110
- 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
- 1942
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=20A022464
- a(n) = smallest prime == 1 (mod 4) such that a(n) is a square mod a(i), all i<n.at n=10A034700
- Primes of the form 36*k^2 - 810*k + 2753, listed in order of increasing parameter k >= 0.at n=20A050268
- Numbers k such that k*2^m-1 are composites for all exponents m in the range 0<=m<=k.at n=34A061154
- Numbers k such that 46^k - 45^k is prime.at n=4A062612
- Primes expressible as the sum of (at least two) consecutive primes in at least 3 ways.at n=32A067379
- Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 5.at n=25A075585
- Lower bound twin primes such that their digital reverse is prime and a lower bound twin prime.at n=32A101783
- a(n) = 36*n^2 - 810*n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44.at n=34A117081
- Primes p that divide Fibonacci[(p-1)/7].at n=22A125253
- a(n) is n-th prime == -1 (mod 6n).at n=32A138905
- Primes congruent to 28 mod 53.at n=33A142558
- Primes congruent to 14 mod 59.at n=34A142741
- Primes congruent to 54 mod 61.at n=32A142852
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (1, 0, 1), (1, 1, -1), (1, 1, 1)}.at n=7A150977
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (0, -1), (0, 1), (1, 0), (1, 1)}.at n=9A151444
- Primes which are anagrams of cubes.at n=33A161854
- Emirps whose only prime digits are one or more 2's.at n=34A179032
- Emirps with a single 2 as the only prime digit.at n=27A179033
- Irregular triangle E(n,g) counting not necessarily connected 4-regular simple graphs on n vertices with girth exactly g.at n=20A185140