16103
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
- 16104
- 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
- 16102
- Möbius Function
- -1
- Radical
- 16103
- 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
- 84
- 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
- 1875
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numerator of Sum_{i+j+k=n; i,j,k > 0} 1/(i*j*k).at n=8A002545
- Primes that remain prime through 3 iterations of function f(x) = 2x + 7.at n=15A023275
- Bilateral directed animals in first and 8th octants.at n=10A038151
- Euclid-Mullin sequence (A000945) with initial value a(1)=257 instead of a(1)=2.at n=17A051333
- Primes such that the sum of the factorials of the digits is a perfect square.at n=30A052279
- Odd numbers k such that (10^k - 1)/3 - 2*10^floor(k/2) is a palindromic wing prime (a.k.a. near-repdigit palindromic prime) of the form 3...313...3.at n=16A077775
- Primes for which the weight as defined in A117078 is 15 and the gap as defined in A001223 is 8.at n=30A119595
- Positions of records in A034694.at n=44A120857
- Number of base 27 n-digit numbers with adjacent digits differing by four or less.at n=4A126522
- Primes appearing in partial sums of A030433 (primes ending in 9).at n=6A129081
- a(n) = (n^5-n-10)/10.at n=11A131176
- Primes p for which Sum_{1 <= n < p} (n!|p) == 0 (mod p), where (n!|p) is the Legendre symbol.at n=29A131652
- Numbers such that the digital sum base 2 and the digital sum base 5 and the digital sum base 10 all are equal.at n=15A135125
- Triangle c(n,k) of the numerators of coefficients [x^k] P(n,x) of the polynomials P(n,x) of A129891.at n=57A140749
- Primes congruent to 29 mod 47.at n=40A142380
- Primes congruent to 44 mod 53.at n=35A142574
- Primes congruent to 55 mod 59.at n=31A142782
- Primes congruent to 60 mod 61.at n=29A142858
- Primes p such that 2*p^3 -+ 3 are also prime.at n=16A174363
- Primes of the form k^4 + k^3 + k^2 + k - 1.at n=4A182385