4,055,933

7 × 727 × 797

Starting at 4,055,933, the Collatz iteration reaches 1 after 185 steps. The first transition is 12167800; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 727 × 797

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,647,552

Proper Divisor Sum 591,619

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4055927 ← → #4055957

Radix Representation

Decimal	4055933
Binary	1111011110001101111101 (22 bits)
Octal	0o17361575
Hexadecimal	0x3DE37D

Divisor Catalog (8)

1 7 727 797 5,089 5,579 579,419 4,055,933

Collatz Trajectory (185 steps to reach 1)

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

4,055,933 12,167,800 6,083,900 3,041,950 1,520,975 4,562,926 2,281,463 6,844,390 3,422,195 10,266,586 5,133,293 15,399,880 7,699,940 3,849,970 1,924,985 5,774,956 2,887,478 1,443,739 4,331,218 2,165,609 6,496,828 3,248,414 1,624,207 4,872,622 2,436,311 7,308,934 3,654,467 10,963,402 5,481,701 16,445,104 8,222,552 4,111,276 2,055,638 1,027,819 3,083,458 1,541,729 4,625,188 2,312,594 1,156,297 3,468,892 1,734,446 867,223 2,601,670 1,300,835 3,902,506 1,951,253 5,853,760 2,926,880 1,463,440 731,720 365,860 182,930 91,465 274,396 137,198 68,599 205,798 102,899 308,698 154,349

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