3,973,570

2 × 5 × 397357

Starting at 3,973,570, the Collatz iteration reaches 1 after 123 steps. The first transition is 1986785; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 397357

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,152,444

Proper Divisor Sum 3,178,874

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3973561 ← → #3973577

Radix Representation

Decimal	3973570
Binary	1111001010000111000010 (22 bits)
Octal	0o17120702
Hexadecimal	0x3CA1C2

Divisor Catalog (8)

1 2 5 10 397,357 794,714 1,986,785 3,973,570

Collatz Trajectory (123 steps to reach 1)

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

3,973,570 1,986,785 5,960,356 2,980,178 1,490,089 4,470,268 2,235,134 1,117,567 3,352,702 1,676,351 5,029,054 2,514,527 7,543,582 3,771,791 11,315,374 5,657,687 16,973,062 8,486,531 25,459,594 12,729,797 38,189,392 19,094,696 9,547,348 4,773,674 2,386,837 7,160,512 3,580,256 1,790,128 895,064 447,532 223,766 111,883 335,650 167,825 503,476 251,738 125,869 377,608 188,804 94,402 47,201 141,604 70,802 35,401 106,204 53,102 26,551 79,654 39,827 119,482 59,741 179,224 89,612 44,806 22,403 67,210 33,605 100,816 50,408 25,204

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