993,680

2⁴ × 5 × 12421

Starting at 993,680, the Collatz iteration reaches 1 after 64 steps. The first transition is 496840; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 12421

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 2,310,492

Proper Divisor Sum 1,316,812

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #993679 ← → #993683

Radix Representation

Decimal	993680
Binary	11110010100110010000 (20 bits)
Octal	0o3624620
Hexadecimal	0xF2990

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 12,421 24,842 49,684 62,105 99,368 124,210 198,736 248,420 496,840 993,680

Collatz Trajectory (64 steps to reach 1)

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

993,680 496,840 248,420 124,210 62,105 186,316 93,158 46,579 139,738 69,869 209,608 104,804 52,402 26,201 78,604 39,302 19,651 58,954 29,477 88,432 44,216 22,108 11,054 5,527 16,582 8,291 24,874 12,437 37,312 18,656 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5

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