4,174,765

5 × 7 × 181 × 659

Starting at 4,174,765, the Collatz iteration reaches 1 after 198 steps. The first transition is 12524296; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 181 × 659

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,765,760

Proper Divisor Sum 1,590,995

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4174759 ← → #4174769

Radix Representation

Decimal	4174765
Binary	1111111011001110101101 (22 bits)
Octal	0o17731655
Hexadecimal	0x3FB3AD

Divisor Catalog (16)

1 5 7 35 181 659 905 1,267 3,295 4,613 6,335 23,065 119,279 596,395 834,953 4,174,765

Collatz Trajectory (198 steps to reach 1)

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

4,174,765 12,524,296 6,262,148 3,131,074 1,565,537 4,696,612 2,348,306 1,174,153 3,522,460 1,761,230 880,615 2,641,846 1,320,923 3,962,770 1,981,385 5,944,156 2,972,078 1,486,039 4,458,118 2,229,059 6,687,178 3,343,589 10,030,768 5,015,384 2,507,692 1,253,846 626,923 1,880,770 940,385 2,821,156 1,410,578 705,289 2,115,868 1,057,934 528,967 1,586,902 793,451 2,380,354 1,190,177 3,570,532 1,785,266 892,633 2,677,900 1,338,950 669,475 2,008,426 1,004,213 3,012,640 1,506,320 753,160 376,580 188,290 94,145 282,436 141,218 70,609 211,828 105,914 52,957 158,872

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