1749
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2592
- Proper Divisor Sum (Aliquot Sum)
- 843
- 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
- 1040
- Möbius Function
- -1
- Radical
- 1749
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 117
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Number of n-node rooted trees of height at most 3.at n=14A001383
- a(n) = ceiling(n*phi^9), where phi is the golden ratio, A001622.at n=23A004964
- a(n) = (n + 3)*(n^2 + 6*n + 2)/6.at n=19A005286
- Pseudoprimes to base 23.at n=23A020151
- Pseudoprimes to base 76.at n=31A020204
- Numbers k such that the continued fraction for sqrt(k) has period 22.at n=37A020361
- a(n) = n*(29*n - 1)/2.at n=11A022286
- Numbers with exactly 3 4's in base 5 expansion.at n=35A023740
- a(n) is the least k such that A030777(k) = n.at n=55A030780
- Numbers whose base-5 representation has 3 fewer 0's than 4's.at n=27A031476
- Lucky numbers with size of gaps equal to 12 (upper terms).at n=21A031895
- Lucky numbers with size of gaps equal to 16 (lower terms).at n=4A031898
- Numbers with the property that all pairs of consecutive base-3 digits differ by 1.at n=45A033068
- Number of partitions of n into parts 6k+1 and 6k+2 with at least one part of each type.at n=52A035642
- Numbers k such that the numbers of partitions and partitions-into-distinct-parts of k are both multiples of 12.at n=30A035702
- Number of partitions in parts not of the form 25k, 25k+3 or 25k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=27A036002
- Numbers k such that d(i) is a power of 2 for all k <= i <= k+6, where d(i) = number of divisors of i.at n=28A036540
- Number of partitions of n such that cn(0,5) = cn(1,5) < cn(3,5) <= cn(2,5) = cn(4,5).at n=65A036872
- Number of near-rings (or nearrings) definable on cyclic group of order n.at n=10A037221
- Replace n with concatenation of its odd divisors.at n=48A037283