1497
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
- 4
- Divisor Sum
- 2000
- Proper Divisor Sum (Aliquot Sum)
- 503
- 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
- 996
- Möbius Function
- 1
- Radical
- 1497
- 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
- 47
- 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
- Related to population of numbers of form x^2 + y^2.at n=12A000693
- Boustrophedon transform (first version) of Fibonacci numbers 0,1,1,2,3,...at n=7A000738
- Perrin sequence (or Perrin numbers, or Ondrej Such sequence): a(n) = a(n-2) + a(n-3) with a(0) = 3, a(1) = 0, a(2) = 2.at n=26A001608
- Crystal ball sequence for planar net 4.8.8.at n=33A008577
- Coordination sequence T3 for Zeolite Code VNI.at n=24A009909
- a(1)=1, a(n) = n*22^(n-1) + a(n-1).at n=2A014940
- Numbers k such that the continued fraction for sqrt(k) has period 30.at n=13A020369
- Least k such that the first k terms of the Kolakoski sequence (A000002) contain n more 1's than 2's.at n=8A022327
- Positive integers which apparently never result in a palindrome under repeated applications of the function A056964(x) = x + (x with digits reversed).at n=14A023108
- [ (3rd elementary symmetric function of S(n))/(2nd elementary symmetric function of S(n)) ], where S(n) = {first n+2 positive integers congruent to 1 mod 4}.at n=45A024388
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=23A024840
- a(n) = Sum_{k=1..n} floor((n/k)*floor(n/k)).at n=30A024921
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 3, 1, 1, 3.at n=8A025254
- a(n)^2 has last digit equal to the sum of the other digits.at n=11A030134
- Twin lucky numbers (upper terms).at n=45A031159
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 24.at n=17A031522
- Lucky numbers with size of gaps equal to 4 (lower terms).at n=46A031886
- Lucky numbers ending with digit 7.at n=38A032588
- Numbers whose set of base-11 digits is {1,4}.at n=16A032823
- Number of partitions of n into parts not of the form 13k, 13k+2 or 13k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 5 are greater than 1.at n=29A035950