16787
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16788
- 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
- 16786
- Möbius Function
- -1
- Radical
- 16787
- 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
- 128
- 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
- 1939
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that p-24, p and p+24 are consecutive primes.at n=0A053074
- First occurrence of distances of equidistant lonely primes. Each equidistant prime is at the same distance (or has the same gap) from the preceding prime and the next prime.at n=4A054342
- First term of strong prime quintets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3).at n=38A054808
- Equidistant lonely primes. Each prime is the same distance (gap) from the preceding prime and the next prime. These distances are maximal: each distance is larger than all such previous distances.at n=3A058867
- Duplicate of A054342.at n=4A058869
- Numbers k such that k, sigma(k) and phi(k) have the same decimal digits (ignoring multiplicity).at n=20A082059
- Primes p such that q-p = 24, where q is the next prime after p.at n=26A098974
- Smallest prime p such that both p +/- 2n are primes closest to p, or zero if no such prime exists.at n=11A103709
- Largest prime <= 7^n.at n=4A104092
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 7.at n=39A109561
- Triangle read by rows n>=0: the largest prime <= m^n+2 in columns m=3..n+3.at n=19A118132
- Number of labeled directed multigraphs (without loops) with n arcs and no vertex of degree 0.at n=4A121137
- Primes p such that p - q = 24, where q is the previous prime before p; or prime numbers preceded by precisely 23 composite numbers.at n=25A126720
- List of triples of primes with common difference 24.at n=1A128383
- Prime numbers, isolated from neighboring primes by >14.at n=24A137874
- Prime numbers, isolated from neighboring primes by >16.at n=13A137875
- Primes congruent to 39 mod 53.at n=40A142569
- Primes congruent to 31 mod 59.at n=31A142758
- Primes congruent to 12 mod 61.at n=35A142810
- Numbers k with property that (k^2 mod prime(k)) < 10.at n=13A152526