1738
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2880
- Proper Divisor Sum (Aliquot Sum)
- 1142
- 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
- 780
- Möbius Function
- -1
- Radical
- 1738
- 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
- 29
- 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
- yes
- Odd
- no
Appears in sequences
- Number of stacks, or arrangements of n pennies in contiguous rows, each touching 2 in row below.at n=23A001524
- Numbers k such that the k-th tetrahedral number is the sum of 2 tetrahedral numbers.at n=43A002311
- Coefficients in expansion of permanent of infinite tridiagonal matrix shown below.at n=50A003113
- Cubes written in base 9.at n=10A004639
- a(n) = floor(n*phi^8), where phi is the golden ratio, A001622.at n=37A004923
- a(n) = round(n*phi^8), where phi is the golden ratio, A001622.at n=37A004943
- Coordination sequence T1 for Zeolite Code CZP.at n=27A019456
- a(n+1) (n >= 1) is smallest number > a(n) which is the sum of cubes of distinct earlier terms.at n=40A019511
- Pseudoprimes to base 23.at n=22A020151
- Numbers k such that the continued fraction for sqrt(k) has period 36.at n=15A020375
- Place where n-th 1 occurs in A007337.at n=44A022777
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = A001950 (upper Wythoff sequence).at n=13A024475
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = A001950 (upper Wythoff sequence).at n=12A025095
- Numbers that are the sum of 4 positive cubes in exactly 3 ways.at n=4A025405
- Numbers that are the sum of 4 positive cubes in 3 or more ways.at n=4A025407
- Number of sums S of distinct positive integers satisfying S <= n.at n=28A026906
- a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026769.at n=5A027240
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 20 ones.at n=18A031788
- a(n) = n * prime(n).at n=21A033286
- Number of binary [ n,3 ] codes without 0 columns.at n=19A034344