16733
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 17340
- Proper Divisor Sum (Aliquot Sum)
- 607
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 16128
- Möbius Function
- 1
- Radical
- 16733
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 40
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(0) = 1, a(n) = 11*n^2 + 2 for n>0.at n=39A010003
- Numerators of continued fraction convergents to sqrt(557).at n=8A042066
- Starting index of a string of 4 or more consecutive equal digits in decimal expansion of Pi.at n=13A049516
- Starting index of a string of exactly 4 consecutive equal digits in decimal expansion of Pi.at n=10A049520
- Starting positions of strings of 3 1's in the decimal expansion of Pi.at n=18A050209
- Number of factorizations into distinct factors with 3 levels of parentheses indexed by prime signatures. A050349(A025487).at n=43A050350
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 9.at n=24A051974
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1100-0100-0111-0001 pattern in any orientation.at n=16A147199
- Positive numbers y such that y^2 is of the form x^2+(x+577)^2 with integer x.at n=7A159626
- Number of (n+1) X (n+1) -6..6 symmetric matrices with every 2 X 2 subblock having sum zero and one or two distinct values.at n=15A211253
- Number of partitions p of n such that 3*min(p) + (number of parts of p) is not a part of p.at n=35A238543
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=58A302528
- Number of 4Xn 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=7A302530
- Deficiency of prime-shifted squares: a(n) = 2*A003961(n^2) - sigma(A003961(n^2)), where A003961 is fully multiplicative function with a(prime(i)) = prime(i+1).at n=44A378231