3,684,783

3 × 101 × 12161

Starting at 3,684,783, the Collatz iteration reaches 1 after 141 steps. The first transition is 11054350; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 101 × 12161

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,962,096

Proper Divisor Sum 1,277,313

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3684781 ← → #3684809

Radix Representation

Decimal	3684783
Binary	1110000011100110101111 (22 bits)
Octal	0o16034657
Hexadecimal	0x3839AF

Divisor Catalog (8)

1 3 101 303 12,161 36,483 1,228,261 3,684,783

Collatz Trajectory (141 steps to reach 1)

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

3,684,783 11,054,350 5,527,175 16,581,526 8,290,763 24,872,290 12,436,145 37,308,436 18,654,218 9,327,109 27,981,328 13,990,664 6,995,332 3,497,666 1,748,833 5,246,500 2,623,250 1,311,625 3,934,876 1,967,438 983,719 2,951,158 1,475,579 4,426,738 2,213,369 6,640,108 3,320,054 1,660,027 4,980,082 2,490,041 7,470,124 3,735,062 1,867,531 5,602,594 2,801,297 8,403,892 4,201,946 2,100,973 6,302,920 3,151,460 1,575,730 787,865 2,363,596 1,181,798 590,899 1,772,698 886,349 2,659,048 1,329,524 664,762 332,381 997,144 498,572 249,286 124,643 373,930 186,965 560,896 280,448 140,224

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