4779
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 7260
- Proper Divisor Sum (Aliquot Sum)
- 2481
- 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
- 3132
- Möbius Function
- 0
- Radical
- 177
- Omega Function (Ω)
- 5
- 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
- 77
- 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
- Number of unrooted achiral trees with n nodes.at n=29A003244
- Mian-Chowla sequence (a B_2 sequence): a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise sums of elements are all distinct.at n=48A005282
- Positions of remoteness 3 in Beans-Don't-Talk.at n=29A005695
- Number of sensed planar maps with n edges and without faces of degree 1 or 2.at n=8A006392
- Number of independent polynomial invariants of symmetric matrix of order n.at n=8A007719
- Molien series for A_6.at n=41A008629
- Sequence satisfies T^2(a)=a, where T is defined below.at n=52A027590
- 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 69.at n=1A031567
- Smallest number that takes n steps to reach 0 under "k->max product of 2 numbers whose concatenation is k".at n=15A035932
- Smallest number that can be made to take n steps to reach 0 under "k -> any product of 2 numbers whose concatenation is k".at n=16A035934
- Numerators of continued fraction convergents to sqrt(193).at n=6A041358
- Numerators of continued fraction convergents to sqrt(211).at n=6A041392
- Numerators of continued fraction convergents to sqrt(772).at n=8A042488
- Base-6 palindromes that start with 3.at n=38A043012
- Numbers whose base-2 representation has exactly 11 runs.at n=17A043578
- a(n) = (1/2)*(n-th number whose base-2 representation has exactly 12 runs).at n=19A043686
- Numbers n such that number of runs in the base 2 representation of n is congruent to 1 mod 10.at n=29A043764
- Numbers k such that k | 4^k + 3^k + 2^k.at n=11A057238
- Numbers n such that n | 11^n + 10^n + 9^n + 8^n + 7^n.at n=34A057251
- Numbers k such that k | 8^k + 7^k + 6^k + 5^k + 4^k + 3^k.at n=37A057261