3,972,645

3⁴ × 5 × 17 × 577

Starting at 3,972,645, the Collatz iteration reaches 1 after 92 steps. The first transition is 11917936; the starting value is odd with 40 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5 × 17 × 577

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 7,553,304

Proper Divisor Sum 3,580,659

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3972643 ← → #3972649

Radix Representation

Decimal	3972645
Binary	1111001001111000100101 (22 bits)
Octal	0o17117045
Hexadecimal	0x3C9E25

Divisor Catalog (40)

1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 577 765 1,377 1,731 2,295 2,885 5,193 6,885 8,655 9,809 15,579 25,965 29,427 46,737 49,045 77,895 88,281 147,135 233,685 264,843 441,405 794,529 1,324,215 3,972,645

Collatz Trajectory (92 steps to reach 1)

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

3,972,645 11,917,936 5,958,968 2,979,484 1,489,742 744,871 2,234,614 1,117,307 3,351,922 1,675,961 5,027,884 2,513,942 1,256,971 3,770,914 1,885,457 5,656,372 2,828,186 1,414,093 4,242,280 2,121,140 1,060,570 530,285 1,590,856 795,428 397,714 198,857 596,572 298,286 149,143 447,430 223,715 671,146 335,573 1,006,720 503,360 251,680 125,840 62,920 31,460 15,730 7,865 23,596 11,798 5,899 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202

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