3607
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3608
- 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
- 3606
- Möbius Function
- -1
- Radical
- 3607
- 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
- 43
- 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
- 504
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=24A001136
- a(n) is the solution to the postage stamp problem with 6 denominations and n stamps.at n=10A001211
- Triangle of Eulerian numbers with rows multiplied by 1 + x.at n=31A008518
- Triangle of Eulerian numbers with rows multiplied by 1 + x.at n=32A008518
- Numbers k such that the continued fraction for sqrt(k) has period 52.at n=17A020391
- Primes that remain prime through 2 iterations of function f(x) = 4x + 3.at n=43A023250
- Primes that remain prime through 3 iterations of function f(x) = 6x + 5.at n=31A023288
- Primes that remain prime through 3 iterations of function f(x) = 6x + 7.at n=6A023289
- Numbers that are the sum of 4 positive cubes in exactly 3 ways.at n=34A025405
- Numbers that are the sum of 4 positive cubes in 3 or more ways.at n=36A025407
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 59.at n=12A031557
- Upper prime of a difference of 14 between consecutive primes.at n=18A031933
- Denominators of continued fraction convergents to sqrt(996).at n=13A042929
- Numbers k such that the string 0,7 occurs in the base 10 representation of k but not of k-1.at n=38A044339
- Numbers having, in base 15, (sum of even run lengths)=(sum of odd run lengths).at n=34A044886
- Discriminants of imaginary quadratic fields with class number 19 (negated).at n=12A046016
- p, p+6 and p+10 are primes.at n=45A046139
- Largest prime substring in 7^n (0 if none).at n=9A046273
- Primes for which only two iterations of 'Prime plus its digit sum equals a prime' are possible.at n=25A048524
- Primes of the form 6*p + 1 where p is also prime.at n=43A051644