4849
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5236
- Proper Divisor Sum (Aliquot Sum)
- 387
- 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
- 4464
- Möbius Function
- 1
- Radical
- 4849
- 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
- 20
- 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
- Number of partitions of n into distinct parts, none being 7.at n=56A015754
- Pseudoprimes to base 69.at n=25A020197
- Pseudoprimes to base 88.at n=26A020216
- Pseudoprimes to base 89.at n=47A020217
- Numbers k such that the continued fraction for sqrt(k) has period 48.at n=38A020387
- Pair up the numbers.at n=24A030656
- Offsets for the Atkin Partition Congruence theorem.at n=33A036492
- Numbers ending with '9' that are the difference of two positive cubes.at n=20A038864
- Numbers k such that 231*2^k-1 is prime.at n=38A050867
- Number of 3 X n binary matrices with no zero rows or columns, up to row and column permutation.at n=12A055609
- a(1) = 1; a(n+1) = sum of terms in continued fraction for the sum of the continued fractions, [a(1); a(2), a(3), ..., a(n)] and [0; a(1), a(2), a(3), ..., a(n)].at n=40A058082
- Semiprimes p1*p2 such that p2 mod p1 = 9, with p2 > p1.at n=25A064907
- Consider all sublists of [(2,1),(3,2,1),(4,3,2,1),...,(n,...,4,3,2,1)] and multiply these permutations in that order. How many of the products are n-cycles?at n=16A068330
- Vertical of triangular spiral in A051682.at n=32A081271
- Let S = 123456789101112131415..., the concatenation of the natural numbers; partition this string into distinct squarefree numbers. To avoid leading zeros, no number may end at the digit that comes before a 0 in S.at n=32A085943
- Sum of the elements in the primitive subsets of the integers 1 to n.at n=11A087078
- p such that p^4 + q^4 = r^4 + s^4 = a(n).at n=15A088728
- Numbers k such that 13k = 6j^2 + 6j + 1.at n=15A106390
- Sum of the sizes of the Durfee squares of all partitions of n into odd parts.at n=41A116465
- a(n) = floor(n*(n^3-n-3)/(2*(n-1))).at n=19A117561