1733
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1734
- 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
- 1732
- Möbius Function
- -1
- Radical
- 1733
- 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
- 29
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 270
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that phi(2k-1) < phi(2k), where phi is Euler's totient function A000010.at n=24A001836
- Fibonacci numbers written in base 8.at n=16A004691
- Where the prime race among 5k+1, ..., 5k+4 changes leader.at n=15A007353
- Coordination sequence T9 for Zeolite Code EUO.at n=26A008104
- Coordination sequence T1 for Zeolite Code MTW.at n=27A008196
- Coordination sequence T1 for Zeolite Code VFI.at n=32A008245
- Coordination sequence T1 for Zeolite Code -WEN.at n=30A009862
- a(n) = floor(n*(n-1)*(n-2)/9).at n=26A011891
- Numbers in which every prefix (in base 10) is 1 or a prime.at n=45A012883
- Next prime after n^3.at n=12A014220
- Numbers k such that the continued fraction for sqrt(k) has period 31.at n=2A020370
- Fibonacci sequence beginning 4, 17.at n=11A022134
- Primes that remain prime through 2 iterations of function f(x) = 9x + 10.at n=34A023268
- Primes that remain prime through 3 iterations of function f(x) = 9x + 10.at n=11A023299
- Primes that remain prime through 4 iterations of function f(x) = 9x + 10.at n=5A023327
- Palindromic primes in base 3.at n=13A029971
- Smallest prime formed by appending a number to the n-th prime.at n=39A030670
- a(n) = prime(6*n).at n=44A031339
- a(n) = prime(9*n).at n=29A031342
- a(n) = prime(10*n).at n=26A031343