4,320,688

2⁴ × 23 × 59 × 199

Starting at 4,320,688, the Collatz iteration reaches 1 after 118 steps. The first transition is 2160344; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 23 × 59 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 8,928,000

Proper Divisor Sum 4,607,312

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4320643 ← → #4320689

Radix Representation

Decimal	4320688
Binary	10000011110110110110000 (23 bits)
Octal	0o20366660
Hexadecimal	0x41EDB0

Divisor Catalog (40)

1 2 4 8 16 23 46 59 92 118 184 199 236 368 398 472 796 944 1,357 1,592 2,714 3,184 4,577 5,428 9,154 10,856 11,741 18,308 21,712 23,482 36,616 46,964 73,232 93,928 187,856 270,043 540,086 1,080,172 2,160,344 4,320,688

Collatz Trajectory (118 steps to reach 1)

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

4,320,688 2,160,344 1,080,172 540,086 270,043 810,130 405,065 1,215,196 607,598 303,799 911,398 455,699 1,367,098 683,549 2,050,648 1,025,324 512,662 256,331 768,994 384,497 1,153,492 576,746 288,373 865,120 432,560 216,280 108,140 54,070 27,035 81,106 40,553 121,660 60,830 30,415 91,246 45,623 136,870 68,435 205,306 102,653 307,960 153,980 76,990 38,495 115,486 57,743 173,230 86,615 259,846 129,923 389,770 194,885 584,656 292,328 146,164 73,082 36,541 109,624 54,812 27,406

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