1398
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
- 2808
- Proper Divisor Sum (Aliquot Sum)
- 1410
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 464
- Möbius Function
- -1
- Radical
- 1398
- 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
- 65
- 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
- Erroneous version of A174313.at n=6A002933
- a(n) = 1000*log_10(n) rounded to the nearest integer.at n=24A004226
- a(n) = ceiling(1000*log_10(n)).at n=24A004227
- Coordination sequence T3 for Zeolite Code LIO.at n=26A008131
- Coordination sequence for quartz.at n=21A008261
- Expansion of (1+x^10)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=46A008771
- Apply partial sum operator thrice to Catalan numbers.at n=7A014151
- Powers of sqrt(5) rounded to nearest integer.at n=9A017920
- Powers of sqrt(5) rounded up.at n=9A017921
- Powers of fourth root of 5 rounded to nearest integer.at n=18A018058
- Powers of fourth root of 5 rounded up.at n=18A018059
- Fibonacci sequence beginning 0, 6.at n=13A022089
- Least k such that the first k terms of the Kolakoski sequence (A000002) contain n more 1's than 2's.at n=7A022327
- [ (4th elementary symmetric function of P(n))/(3rd elementary symmetric function of P(n)) ], where P(n) = {1, p(1), p(2), ..., p(n-1)}, p(0) = 1.at n=51A024536
- a(n) = sum of the numbers between the two n's in A026354.at n=34A026357
- Theta series of 6-dimensional perfect lattice P6.6 = A6,1.at n=15A029695
- 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 36.at n=8A031534
- Numbers whose base-5 expansions have 5 distinct digits.at n=31A031946
- Numbers k such that the numbers of partitions and partitions-into-distinct-parts of k are both multiples of 12.at n=24A035702
- Nearest integer to n^(9/2).at n=5A036494