7,808,798

2 × 1063 × 3673

Starting at 7,808,798, the Collatz iteration reaches 1 after 204 steps. The first transition is 3904399; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 1063 × 3673

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,727,408

Proper Divisor Sum 3,918,610

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #7808789 ← → #7808803

Radix Representation

Decimal	7808798
Binary	11101110010011100011110 (23 bits)
Octal	0o35623436
Hexadecimal	0x77271E

Divisor Catalog (8)

1 2 1,063 2,126 3,673 7,346 3,904,399 7,808,798

Collatz Trajectory (204 steps to reach 1)

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

7,808,798 3,904,399 11,713,198 5,856,599 17,569,798 8,784,899 26,354,698 13,177,349 39,532,048 19,766,024 9,883,012 4,941,506 2,470,753 7,412,260 3,706,130 1,853,065 5,559,196 2,779,598 1,389,799 4,169,398 2,084,699 6,254,098 3,127,049 9,381,148 4,690,574 2,345,287 7,035,862 3,517,931 10,553,794 5,276,897 15,830,692 7,915,346 3,957,673 11,873,020 5,936,510 2,968,255 8,904,766 4,452,383 13,357,150 6,678,575 20,035,726 10,017,863 30,053,590 15,026,795 45,080,386 22,540,193 67,620,580 33,810,290 16,905,145 50,715,436 25,357,718 12,678,859 38,036,578 19,018,289 57,054,868 28,527,434 14,263,717 42,791,152 21,395,576 10,697,788

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