3,653,120

2⁹ × 5 × 1427

Starting at 3,653,120, the Collatz iteration reaches 1 after 203 steps. The first transition is 1826560; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^9 × 5 × 1427

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 8,765,064

Proper Divisor Sum 5,111,944

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3653081 ← → #3653129

Radix Representation

Decimal	3653120
Binary	1101111011111000000000 (22 bits)
Octal	0o15737000
Hexadecimal	0x37BE00

Divisor Catalog (40)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1,280 1,427 2,560 2,854 5,708 7,135 11,416 14,270 22,832 28,540 45,664 57,080 91,328 114,160 182,656 228,320 365,312 456,640 730,624 913,280 1,826,560 3,653,120

Collatz Trajectory (203 steps to reach 1)

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

3,653,120 1,826,560 913,280 456,640 228,320 114,160 57,080 28,540 14,270 7,135 21,406 10,703 32,110 16,055 48,166 24,083 72,250 36,125 108,376 54,188 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204 20,602 10,301 30,904 15,452 7,726 3,863

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