8,200,801

7 × 107 × 10949

Starting at 8,200,801, the Collatz iteration reaches 1 after 230 steps. The first transition is 24602404; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 107 × 10949

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,460,800

Proper Divisor Sum 1,259,999

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #8200789 ← → #8200847

Radix Representation

Decimal	8200801
Binary	11111010010001001100001 (23 bits)
Octal	0o37221141
Hexadecimal	0x7D2261

Divisor Catalog (8)

1 7 107 749 10,949 76,643 1,171,543 8,200,801

Collatz Trajectory (230 steps to reach 1)

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

8,200,801 24,602,404 12,301,202 6,150,601 18,451,804 9,225,902 4,612,951 13,838,854 6,919,427 20,758,282 10,379,141 31,137,424 15,568,712 7,784,356 3,892,178 1,946,089 5,838,268 2,919,134 1,459,567 4,378,702 2,189,351 6,568,054 3,284,027 9,852,082 4,926,041 14,778,124 7,389,062 3,694,531 11,083,594 5,541,797 16,625,392 8,312,696 4,156,348 2,078,174 1,039,087 3,117,262 1,558,631 4,675,894 2,337,947 7,013,842 3,506,921 10,520,764 5,260,382 2,630,191 7,890,574 3,945,287 11,835,862 5,917,931 17,753,794 8,876,897 26,630,692 13,315,346 6,657,673 19,973,020 9,986,510 4,993,255 14,979,766 7,489,883 22,469,650 11,234,825

← Previous Integer #8,200,800 Browse Full Index Next Integer #8,200,802 →