786,564

2² × 3³ × 7283

Starting at 786,564, the Collatz iteration reaches 1 after 131 steps. The first transition is 393282; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7283

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,039,520

Proper Divisor Sum 1,252,956

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #786553 ← → #786587

Radix Representation

Decimal	786564
Binary	11000000000010000100 (20 bits)
Octal	0o3000204
Hexadecimal	0xC0084

Divisor Catalog (24)

Collatz Trajectory (131 steps to reach 1)

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

786,564 393,282 196,641 589,924 294,962 147,481 442,444 221,222 110,611 331,834 165,917 497,752 248,876 124,438 62,219 186,658 93,329 279,988 139,994 69,997 209,992 104,996 52,498 26,249 78,748 39,374 19,687 59,062 29,531 88,594 44,297 132,892 66,446 33,223 99,670 49,835 149,506 74,753 224,260 112,130 56,065 168,196 84,098 42,049 126,148 63,074 31,537 94,612 47,306 23,653 70,960 35,480 17,740 8,870 4,435 13,306 6,653 19,960 9,980 4,990

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