2,726,255

5 × 7 × 77893

Starting at 2,726,255, the Collatz iteration reaches 1 after 107 steps. The first transition is 8178766; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 77893

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,738,912

Proper Divisor Sum 1,012,657

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2726249 ← → #2726263

Radix Representation

Decimal	2726255
Binary	1010011001100101101111 (22 bits)
Octal	0o12314557
Hexadecimal	0x29996F

Divisor Catalog (8)

1 5 7 35 77,893 389,465 545,251 2,726,255

Collatz Trajectory (107 steps to reach 1)

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

2,726,255 8,178,766 4,089,383 12,268,150 6,134,075 18,402,226 9,201,113 27,603,340 13,801,670 6,900,835 20,702,506 10,351,253 31,053,760 15,526,880 7,763,440 3,881,720 1,940,860 970,430 485,215 1,455,646 727,823 2,183,470 1,091,735 3,275,206 1,637,603 4,912,810 2,456,405 7,369,216 3,684,608 1,842,304 921,152 460,576 230,288 115,144 57,572 28,786 14,393 43,180 21,590 10,795 32,386 16,193 48,580 24,290 12,145 36,436 18,218 9,109 27,328 13,664 6,832 3,416 1,708 854 427 1,282 641 1,924 962 481

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