3543
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4728
- Proper Divisor Sum (Aliquot Sum)
- 1185
- 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
- 2360
- Möbius Function
- 1
- Radical
- 3543
- 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
- 56
- 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
- a(n) = 1 + n/2 + 9*n^2/2.at n=28A006137
- Number of zeros in character table of symmetric group S_n.at n=12A006907
- Powers of fifth root of 7 rounded down.at n=21A018132
- Powers of fifth root of 7 rounded to nearest integer.at n=21A018133
- Numbers k such that k^3 has at most three different digits.at n=39A030294
- 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 19.at n=23A031517
- Concatenation of n and n + 8 or {n,n+8}.at n=34A032613
- Numbers whose set of base-14 digits is {1,4}.at n=18A032826
- Number of odd nonprimes <= (2n+1)^2.at n=48A038377
- Numbers k such that the string 6,6 occurs in the base 9 representation of k but not of k-1.at n=43A044311
- Numbers whose base-4 representation contains exactly three 1's and three 3's.at n=13A045127
- Numbers whose base-5 representation contains exactly two 1's and three 3's.at n=11A045243
- Discriminants of imaginary quadratic fields with class number 18 (negated).at n=24A046015
- a(n)^3 is smallest cube containing exactly n 4's.at n=5A048369
- Numbers whose cubes contain more than half the same digit and do not end in 0.at n=20A060814
- Positive numbers whose product of digits is 12 times their sum.at n=31A062045
- Partial sums of sequence (essentially A002378): 1, 2, 6, 12, 20, 30, 42, 56, 72, 90, ...at n=21A064999
- Number of inequivalent (ordered) solutions to n^2 = sum of 6 squares of integers >= 0.at n=52A065460
- a(n) = floor(n!/2^n).at n=9A066979
- Centered 14-gonal numbers.at n=22A069127