4949
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 5814
- Proper Divisor Sum (Aliquot Sum)
- 865
- 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
- 4200
- Möbius Function
- 0
- Radical
- 707
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 28
- 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
- Numbers k such that k^4 can be written as a sum of four positive 4th powers.at n=29A003294
- Positions of remoteness 3 in Beans-Don't-Talk.at n=34A005695
- Kaprekar triples: q such that q = x + y + z and q^3 = x*10^2n + y*10^n + z, where z < 10^n and n is the number of digits in q. q is not a power of 10 (except q=1).at n=8A006887
- Numbers that are the sum of 4 distinct positive cubes in exactly 3 ways.at n=19A025410
- Numbers that are the sum of 4 distinct positive cubes in 3 or more ways.at n=20A025413
- Multiplicity of highest weight (or singular) vectors associated with character chi_33 of Monster module.at n=35A034421
- Numbers k such that k^4 can be written as a sum of four positive 4th powers with no common factor.at n=10A039664
- Numbers whose base-2 representation has exactly 11 runs.at n=21A043578
- a(n) = (1/2)*(n-th number whose base-2 representation has exactly 12 runs).at n=23A043686
- Numbers n such that number of runs in the base 2 representation of n is congruent to 1 mod 10.at n=33A043764
- Numbers whose base-5 representation contains exactly two 2's and three 4's.at n=11A045288
- Numbers whose consecutive digits differ by 5.at n=31A048407
- a(n) = (2*n-1)*(n^2 -n +6)/6.at n=24A049480
- Number of unlabeled connected graphs up to complementarity.at n=7A054931
- 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=24A058082
- Surround numbers of a length 2n zig-zag.at n=18A060641
- Pseudo-Kaprekar triples: q such that if q=x+y+z, then q^3=x*10^i + y*10^j + z, where (y*10^j+z < 10^i) and z < 10^j.at n=18A060768
- Erroneous version of A006887.at n=9A060809
- Numbers of the form (10*a + b)^2 + (10*b + a)^2 with a and b less than 10, in numerical order.at n=23A061191
- Geometric mean of the digits = 6. In other words, the product of the digits is = 6^k where k is the number of digits.at n=29A061429