2,359,364

2² × 7 × 84263

Starting at 2,359,364, the Collatz iteration reaches 1 after 99 steps. The first transition is 1179682; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 84263

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,718,784

Proper Divisor Sum 2,359,420

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2359349 ← → #2359369

Radix Representation

Decimal	2359364
Binary	1001000000000001000100 (22 bits)
Octal	0o11000104
Hexadecimal	0x240044

Divisor Catalog (12)

1 2 4 7 14 28 84,263 168,526 337,052 589,841 1,179,682 2,359,364

Collatz Trajectory (99 steps to reach 1)

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

2,359,364 1,179,682 589,841 1,769,524 884,762 442,381 1,327,144 663,572 331,786 165,893 497,680 248,840 124,420 62,210 31,105 93,316 46,658 23,329 69,988 34,994 17,497 52,492 26,246 13,123 39,370 19,685 59,056 29,528 14,764 7,382 3,691 11,074 5,537 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418

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