2,803,775

5² × 13 × 8627

Starting at 2,803,775, the Collatz iteration reaches 1 after 156 steps. The first transition is 8411326; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 13 × 8627

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,744,552

Proper Divisor Sum 940,777

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2803771 ← → #2803777

Radix Representation

Decimal	2803775
Binary	1010101100100000111111 (22 bits)
Octal	0o12544077
Hexadecimal	0x2AC83F

Divisor Catalog (12)

1 5 13 25 65 325 8,627 43,135 112,151 215,675 560,755 2,803,775

Collatz Trajectory (156 steps to reach 1)

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

2,803,775 8,411,326 4,205,663 12,616,990 6,308,495 18,925,486 9,462,743 28,388,230 14,194,115 42,582,346 21,291,173 63,873,520 31,936,760 15,968,380 7,984,190 3,992,095 11,976,286 5,988,143 17,964,430 8,982,215 26,946,646 13,473,323 40,419,970 20,209,985 60,629,956 30,314,978 15,157,489 45,472,468 22,736,234 11,368,117 34,104,352 17,052,176 8,526,088 4,263,044 2,131,522 1,065,761 3,197,284 1,598,642 799,321 2,397,964 1,198,982 599,491 1,798,474 899,237 2,697,712 1,348,856 674,428 337,214 168,607 505,822 252,911 758,734 379,367 1,138,102 569,051 1,707,154 853,577 2,560,732 1,280,366 640,183

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