17373
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 23168
- Proper Divisor Sum (Aliquot Sum)
- 5795
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11580
- Möbius Function
- 1
- Radical
- 17373
- 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
- 53
- 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
- Smallest natural number requiring n letters in English.at n=41A001166
- Number of letters in English name for n increases at these numbers.at n=32A001619
- Crystal ball sequence for diamond.at n=27A007904
- First differences of A037260.at n=39A037261
- Denominators of continued fraction convergents to sqrt(284).at n=10A041535
- Smallest positive integer requiring at least n letters (not including hyphens) when spelled out in English.at n=40A045494
- Smallest positive integer requiring at least n letters (not including hyphens) to be spelled out in English.at n=43A045495
- Numbers n such that 55*2^n-1 is prime.at n=37A050553
- Indices of records in length of English name of n including spaces and dashes (A052360): n such that k < n => A052360(k) < A052360(n).at n=33A052362
- Numbers n whose English name has a greater length (A005589) than any smaller number.at n=29A052363
- a(n), when spelled in English, is the smallest positive integer with exactly n letters.at n=38A080777
- a(n) is the smallest positive integer > a(n-1) with exactly n letters when spelled in English.at n=38A084390
- Numbers for which the sum of the digits is the square root of the product of their digits.at n=38A117720
- Least natural number in English which requires exactly n characters to spell including spaces and hyphens, or 0 if no such number exists. The inverse of A052360.at n=43A132363
- Least nonnegative integer which requires n letters to spell in English, excluding spaces and hyphens. A right inverse of A005589.at n=38A134629
- a(n) is the smallest nonnegative number whose American English name has the letter "e" in the n-th position.at n=40A164790
- a(n) is the smallest number which has in its English name the letter "e" in the n-th position beginning the count from the end, or -1 if no such number exists.at n=39A173203
- a(n) is the smallest number which has in its English name the letter "n" in the n-th position beginning the count from the end.at n=36A173204
- Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 630", based on the 5-celled von Neumann neighborhood.at n=14A283399
- Integers that concatenate 3 counts: the number of terms in the sequence so far, the number of primes in the sequence so far, the number of digits in the sequence so far, with a(1)= 113. The sequence is always extended with the smallest available integer not leading to a contradiction or a dead end.at n=16A309617