3,634,875

3⁴ × 5³ × 359

Starting at 3,634,875, the Collatz iteration reaches 1 after 141 steps. The first transition is 10904626; the starting value is odd with 40 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5^3 × 359

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 6,795,360

Proper Divisor Sum 3,160,485

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3634861 ← → #3634877

Radix Representation

Decimal	3634875
Binary	1101110111011010111011 (22 bits)
Octal	0o15673273
Hexadecimal	0x3776BB

Divisor Catalog (40)

1 3 5 9 15 25 27 45 75 81 125 135 225 359 375 405 675 1,077 1,125 1,795 2,025 3,231 3,375 5,385 8,975 9,693 10,125 16,155 26,925 29,079 44,875 48,465 80,775 134,625 145,395 242,325 403,875 726,975 1,211,625 3,634,875

Collatz Trajectory (141 steps to reach 1)

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

3,634,875 10,904,626 5,452,313 16,356,940 8,178,470 4,089,235 12,267,706 6,133,853 18,401,560 9,200,780 4,600,390 2,300,195 6,900,586 3,450,293 10,350,880 5,175,440 2,587,720 1,293,860 646,930 323,465 970,396 485,198 242,599 727,798 363,899 1,091,698 545,849 1,637,548 818,774 409,387 1,228,162 614,081 1,842,244 921,122 460,561 1,381,684 690,842 345,421 1,036,264 518,132 259,066 129,533 388,600 194,300 97,150 48,575 145,726 72,863 218,590 109,295 327,886 163,943 491,830 245,915 737,746 368,873 1,106,620 553,310 276,655 829,966

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