4113
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 5954
- Proper Divisor Sum (Aliquot Sum)
- 1841
- 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
- 2736
- Möbius Function
- 0
- Radical
- 1371
- Omega Function (Ω)
- 3
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 38
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Expansion of x*cos(sin(x)), odd terms only.at n=4A009042
- Expansion of exp(sinh(x))*x.at n=9A009224
- a(n) = floor(binomial(n,3)/3).at n=43A011849
- Describe the previous term! (method B - initial term is 4).at n=3A022500
- Numbers whose base-4 representation has 4 more 0's than 3's.at n=29A031465
- a(1) = 1, a(2n) = 16a(n), a(2n+1) = a(2n)+1.at n=11A033052
- Positive numbers having the same set of digits in base 3 and base 8.at n=31A037420
- Sums of 3 distinct powers of 4.at n=21A038471
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 6.at n=26A038637
- Denominators of continued fraction convergents to sqrt(266).at n=5A041499
- Base-6 palindromes that start with 3.at n=20A043012
- Numbers having, in base 16, (sum of even run lengths)=(sum of odd run lengths).at n=15A044887
- Numbers whose base-4 representation contains exactly four 0's and three 1's.at n=1A045036
- Numbers whose base-4 representation contains exactly four 0's and no 2's.at n=26A045057
- Numbers whose base-4 representation contains exactly four 0's and no 3's.at n=26A045081
- Numbers k such that replacing each nonzero digit d with the d-th prime (replacing each 0 digit with a 1) yields a square.at n=4A048383
- Positions in decimal expansion of Pi where next prime begins.at n=43A053013
- Describe all the numbers already used (sorted into increasing order - not splitting numbers up into their digits).at n=3A060857
- Number of orbits of the group of units of Z/(n) acting naturally on the 4-subsets of Z/(n).at n=34A063381
- Smallest k>n such that n^3+1 divides k*n^2+1.at n=16A071568