808,700

2² × 5² × 8087

Starting at 808,700, the Collatz iteration reaches 1 after 299 steps. The first transition is 404350; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 8087

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,755,096

Proper Divisor Sum 946,396

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #808699 ← → #808721

Radix Representation

Decimal	808700
Binary	11000101011011111100 (20 bits)
Octal	0o3053374
Hexadecimal	0xC56FC

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 8,087 16,174 32,348 40,435 80,870 161,740 202,175 404,350 808,700

Collatz Trajectory (299 steps to reach 1)

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

808,700 404,350 202,175 606,526 303,263 909,790 454,895 1,364,686 682,343 2,047,030 1,023,515 3,070,546 1,535,273 4,605,820 2,302,910 1,151,455 3,454,366 1,727,183 5,181,550 2,590,775 7,772,326 3,886,163 11,658,490 5,829,245 17,487,736 8,743,868 4,371,934 2,185,967 6,557,902 3,278,951 9,836,854 4,918,427 14,755,282 7,377,641 22,132,924 11,066,462 5,533,231 16,599,694 8,299,847 24,899,542 12,449,771 37,349,314 18,674,657 56,023,972 28,011,986 14,005,993 42,017,980 21,008,990 10,504,495 31,513,486 15,756,743 47,270,230 23,635,115 70,905,346 35,452,673 106,358,020 53,179,010 26,589,505 79,768,516 39,884,258

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