3,660,003

3² × 29 × 37 × 379

Starting at 3,660,003, the Collatz iteration reaches 1 after 84 steps. The first transition is 10980010; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 29 × 37 × 379

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,631,600

Proper Divisor Sum 1,971,597

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3659993 ← → #3660011

Radix Representation

Decimal	3660003
Binary	1101111101100011100011 (22 bits)
Octal	0o15754343
Hexadecimal	0x37D8E3

Divisor Catalog (24)

1 3 9 29 37 87 111 261 333 379 1,073 1,137 3,219 3,411 9,657 10,991 14,023 32,973 42,069 98,919 126,207 406,667 1,220,001 3,660,003

Collatz Trajectory (84 steps to reach 1)

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

3,660,003 10,980,010 5,490,005 16,470,016 8,235,008 4,117,504 2,058,752 1,029,376 514,688 257,344 128,672 64,336 32,168 16,084 8,042 4,021 12,064 6,032 3,016 1,508 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650

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