4777
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
- 5076
- Proper Divisor Sum (Aliquot Sum)
- 299
- 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
- 4480
- Möbius Function
- 1
- Radical
- 4777
- 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
- 103
- 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 points of norm <= n^2 in square lattice.at n=39A000328
- a(n) = ceiling(n*phi^11), where phi is the golden ratio, A001622.at n=24A004966
- Pseudoprimes to base 53.at n=41A020181
- Pseudoprimes to base 60.at n=16A020188
- Pseudoprimes to base 89.at n=46A020217
- Strong pseudoprimes to base 60.at n=8A020286
- Numbers k such that the continued fraction for sqrt(k) has period 21.at n=27A020360
- Numbers having period-6 5-digitized sequences.at n=33A031190
- Number of partitions of n into parts not of the form 19k, 19k+7 or 19k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=30A035976
- First differences of A037260.at n=24A037261
- Coordination sequence T5 for Zeolite Code STT.at n=46A038415
- Numbers having three 7's in base 10.at n=4A043519
- Numbers whose base-2 representation has exactly 11 runs.at n=16A043578
- a(n) = (1/2)*(n-th number whose base-2 representation has exactly 12 runs).at n=17A043686
- Numbers n such that number of runs in the base 2 representation of n is congruent to 1 mod 10.at n=28A043764
- Numbers whose base-4 representation contains exactly two 1's and four 2's.at n=19A045099
- Number of factorizations with 2 levels of parentheses indexed by prime signatures. A050338(A025487).at n=42A050339
- Molien series for group H_{1,3}^{8} of order 2304.at n=25A051531
- Numbers k such that 3*2^k + 35 is prime.at n=40A059759
- Semiprimes p1*p2 such that p2 mod p1 = 9, with p2 > p1.at n=23A064907