16937
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16938
- 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
- 16936
- Möbius Function
- -1
- Radical
- 16937
- 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
- 1954
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 61.at n=26A020400
- Primes p from A031924 such that A052180(primepi(p)) = 13.at n=28A052233
- a(n+1) = n*a(n) + a(n-1), a(0)=1, a(1)=1.at n=8A102038
- Expansion of (b(q^6) * c(q^6)) / (b(q^3) * c(q^3)) in powers of q where b(), c() are cubic AGM theta functions.at n=24A102315
- Primes congruent to 30 mod 53.at n=40A142560
- Primes congruent to 4 mod 59.at n=33A142731
- Primes congruent to 40 mod 61.at n=33A142838
- Primes p such that p^3 - 24 and p^3 + 24 are also primes.at n=30A153323
- Primes p such that p^3 + p^2 - 1 and p^3 + p^2 + 1 are prime.at n=41A160859
- Partial sums of prime numbers of measurement A002049.at n=35A173702
- Wiener index of a benzenoid consisting of a spiral chain of n hexagons (s=1; see the Gutman et al. reference).at n=15A193391
- Primes of the form 2*k^2 + 9.at n=35A201476
- Primes of the form 8n^2 + 9.at n=19A201705
- Primes p such that p^2 + 4 and p^2 + 10 are also primes.at n=32A237890
- Primes of the form (k^2+4)/5.at n=27A245042
- Primes which are the average of the two adjacent primes and also of the two adjacent squarefree numbers.at n=16A245589
- Prime numbers p such that p^3 is an interprime = average of two successive primes.at n=27A248799
- SanD-50 primes: primes p such that p+d is also prime and sum of digits A007953(p(p+d)) = d, with d = 50.at n=42A307473
- Numbers k such that the k-th composition in standard order is a permutation (of an initial interval).at n=36A333218
- Primes p such that the sum of digits of p and digits of the next prime q is equal to the sum of digits of p*q.at n=43A346493