10033
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10240
- Proper Divisor Sum (Aliquot Sum)
- 207
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9828
- Möbius Function
- 1
- Radical
- 10033
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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(n) = 2*a(n-1) + 5*a(n-2), with a(0) = a(1) = 1.at n=8A002533
- Pisot sequences E(6,10), P(6,10).at n=14A020718
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 64 ones.at n=13A031832
- Numerical distance between m-th and (n+m)-th circles in a loxodromic sequence of circles in which each 4 consecutive circles touch.at n=11A045821
- a(n) = A053061(n)/n.at n=32A061082
- Centered 19-gonal numbers.at n=32A069132
- Number of fibodious primes (A095083) in range [2^n,2^(n+1)].at n=17A095063
- Number of A095744-primes in range ]2^n,2^(n+1)].at n=22A095754
- a(n) = 5^n * T(n,7/5) where T is the Chebyshev polynomial of the first kind.at n=4A099141
- Golden semiprimes that are not brilliant numbers.at n=2A107787
- Golden semiprimes: a(n)=p*q and abs(p*phi-q)<1, where phi = golden ratio = (1+sqrt(5))/2.at n=10A108540
- Numbers k such that A111875(k) is prime and sets a new record for number of digits.at n=7A109320
- Start with 1 and repeatedly reverse the digits and add 66 to get the next term.at n=8A118200
- Triangle read by rows: T(n,k) = 2 * A011971(n,k) - 1.at n=37A136791
- Sum of cube of digits is sum of digits of cube.at n=38A165551
- a(n) = 12*n^2 - 2*n - 1.at n=29A185918
- The least nonsquare number s having exactly n twos in the periodic part of the continued fraction of sqrt(s).at n=23A206582
- a(n) = 9*n^2 - 11*n + 3.at n=33A214660
- Floor(sqrt(3*2^n)).at n=25A221718
- Number of (n+1) X (1+1) 0..2 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements.at n=6A251130