λ
Ratio Atlas

4,727,222

2 × 409 × 5779
Deficient Even Composite

4,727,222 factors as 2 × 409 × 5779. Its 8 positive divisors give a proper-divisor sum of 2,382,178, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2 × 409 × 5779
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,109,400
Proper Divisor Sum 2,382,178
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4727209 ← → #4727227

Radix Representation

Decimal 4727222
Binary 10010000010000110110110 (23 bits)
Octal 0o22020666
Hexadecimal 0x4821B6

Divisor Catalog (8)

1 2 409 818 5,779 11,558 2,363,611 4,727,222

Collatz Trajectory (131 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,727,222 2,363,611 7,090,834 3,545,417 10,636,252 5,318,126 2,659,063 7,977,190 3,988,595 11,965,786 5,982,893 17,948,680 8,974,340 4,487,170 2,243,585 6,730,756 3,365,378 1,682,689 5,048,068 2,524,034 1,262,017 3,786,052 1,893,026 946,513 2,839,540 1,419,770 709,885 2,129,656 1,064,828 532,414 266,207 798,622 399,311 1,197,934 598,967 1,796,902 898,451 2,695,354 1,347,677 4,043,032 2,021,516 1,010,758 505,379 1,516,138 758,069 2,274,208 1,137,104 568,552 284,276 142,138 71,069 213,208 106,604 53,302 26,651 79,954 39,977 119,932 59,966 29,983

More profiles

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