3999
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5632
- Proper Divisor Sum (Aliquot Sum)
- 1633
- 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
- 2520
- Möbius Function
- -1
- Radical
- 3999
- 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
- 188
- 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
- no
- Odd
- yes
Appears in sequences
- Position of n^3 + 9 in A024975.at n=32A024979
- Coordination sequence T6 for Zeolite Code MWW.at n=42A024991
- Numbers in which all pairs of consecutive base-6 digits differ by 3.at n=22A033077
- Shifts left under transform T where Ta is phi DCONV a.at n=40A038045
- Coordination sequence T6 for Zeolite Code ESV.at n=42A038413
- Base-6 palindromes that start with 3.at n=17A043012
- Numbers having three 9's in base 10.at n=3A043527
- Numbers whose base-5 representation contains exactly three 1's and three 4's.at n=0A045262
- Smallest number whose sum of digits is n.at n=30A051885
- Numbers k such that Sum_{j=1..k} d(j) is an integer where d(j) is the decimal fraction 0.2j (e.g., d(14) = 0.28).at n=4A054465
- Smallest palindrome greater than n in bases 2 and n.at n=34A056749
- Intrinsic 12-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base.at n=30A060949
- Harmonic mean of digits is 6.at n=6A062184
- Records for the number of integers k such that k is not of the form m + reverse(m) for any m and for some n A067030(n) occurs in the 'Reverse and Add' trajectory of k (cf. A067284).at n=44A067288
- Smallest composite number with digit sum n.at n=29A067524
- a(n) is the smallest composite number with the sum of digits = the n-th composite number.at n=18A073866
- a(n) = smallest k such that 2k has digit sum = n.at n=32A077491
- a(n) = smallest k such that 5k has a digit sum = n.at n=32A077492
- Number of partitions of primes into mutual coprimes > 1.at n=29A086191
- Number of different values that can be assumed by the determinant of a 3 X 3 matrix whose elements are all permutations of the consecutive integers in the range (n-4,n+4).at n=41A097400