3039
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4056
- Proper Divisor Sum (Aliquot Sum)
- 1017
- 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
- 2024
- Möbius Function
- 1
- Radical
- 3039
- 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
- 154
- 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) = Sum_{k=0..n} k!*(k+1)!.at n=4A016065
- Numbers k such that the continued fraction for sqrt(k) has period 42.at n=29A020381
- Numbers k such that Fibonacci(k) == -2 (mod k).at n=46A023163
- Sequence A025513 divided by 2.at n=6A025514
- Numbers whose base-4 representation has 4 fewer 0's than 3's.at n=25A031469
- 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 17.at n=26A031515
- Lucky numbers with size of gaps equal to 10 (lower terms).at n=34A031892
- Concatenation of n and n + 9 or {n,n+9}.at n=29A032614
- Lucky numbers that are concatenations of n with n + 9.at n=4A032659
- Sums of 10 distinct powers of 2.at n=15A038461
- Numbers having four 3's in base 4.at n=37A043348
- Numbers n such that string 3,9 occurs in the base 10 representation of n but not of n-1.at n=33A044371
- Numbers n such that string 0,3 occurs in the base 10 representation of n but not of n+1.at n=32A044716
- Numbers n such that string 3,9 occurs in the base 10 representation of n but not of n+1.at n=33A044752
- Numbers whose base-4 representation contains no 0's and exactly four 3's.at n=25A045065
- Numbers whose base-4 representation contains exactly one 1 and four 3's.at n=17A045118
- Numbers whose base-4 representation contains exactly one 2 and four 3's.at n=15A045142
- Squarefree nonprimes with property that the concatenation of the prime factors is a palindrome.at n=29A046448
- Semiprimes whose prime factors, when concatenated, yield a palindrome.at n=28A046451
- Becomes prime or 4 after exactly 7 iterations of f(x) = sum of prime factors of x.at n=33A048129