7,783,596

2² × 3² × 216211

Starting at 7,783,596, the Collatz iteration reaches 1 after 186 steps. The first transition is 3891798; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 216211

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 19,675,292

Proper Divisor Sum 11,891,696

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7783549 ← → #7783609

Radix Representation

Decimal	7783596
Binary	11101101100010010101100 (23 bits)
Octal	0o35542254
Hexadecimal	0x76C4AC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 216,211 432,422 648,633 864,844 1,297,266 1,945,899 2,594,532 3,891,798 7,783,596

Collatz Trajectory (186 steps to reach 1)

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

7,783,596 3,891,798 1,945,899 5,837,698 2,918,849 8,756,548 4,378,274 2,189,137 6,567,412 3,283,706 1,641,853 4,925,560 2,462,780 1,231,390 615,695 1,847,086 923,543 2,770,630 1,385,315 4,155,946 2,077,973 6,233,920 3,116,960 1,558,480 779,240 389,620 194,810 97,405 292,216 146,108 73,054 36,527 109,582 54,791 164,374 82,187 246,562 123,281 369,844 184,922 92,461 277,384 138,692 69,346 34,673 104,020 52,010 26,005 78,016 39,008 19,504 9,752 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372

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