1607
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1608
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1606
- Möbius Function
- -1
- Radical
- 1607
- 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
- 166
- 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
- 253
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 5 as smallest primitive root.at n=36A001124
- Lesser of twin primes.at n=50A001359
- a(n) = n^2 + prime(n).at n=37A004232
- Divisible only by primes congruent to 4 mod 7.at n=47A004622
- Convolution of A002024 with itself.at n=44A004797
- Numbers k such that k-6, k, and k+6 are primes.at n=40A006489
- Prime triples: p; p+2 or p+4; p+6 all prime.at n=41A007529
- Coordination sequence T3 for Zeolite Code EPI.at n=25A008092
- Coordination sequence T1 for Zeolite Code SGT.at n=25A008229
- Coordination sequence T3 for Zeolite Code -WEN.at n=29A009864
- a(n) = prime(n*(n+1)/2).at n=21A011756
- a(n) = floor( n*(n-1)*(n-2)/29 ).at n=37A011911
- Number of ordered 5-tuples of integers from [ 2,n ] with no common factors among triples.at n=12A015657
- Numbers k such that the continued fraction for sqrt(k) has period 28.at n=26A020367
- Let q_k=p(p+2) be product of k-th pair of twin primes; sequence gives values of p such that (q_k)^2 > q_{k-i}q_{k+i} for all 1 <= i <= k-1.at n=19A021005
- Initial members of prime triples (p, p+2, p+6).at n=21A022004
- Index of 5^n within sequence of numbers of form 3^i*5^j.at n=46A022338
- n-th prime p(k) such that p(k) + p(k+4) = p(k+1) + p(k+3).at n=46A022887
- Primes p such that 7*p + 8 is also prime.at n=45A023226
- Primes that remain prime through 2 iterations of function f(x) = x + 6.at n=41A023241