277,855

5 × 61 × 911

Starting at 277,855, the Collatz iteration reaches 1 after 114 steps. The first transition is 833566; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 61 × 911

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 339,264

Proper Divisor Sum 61,409

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #277847 ← → #277859

Radix Representation

Decimal	277855
Binary	1000011110101011111 (19 bits)
Octal	0o1036537
Hexadecimal	0x43D5F

Divisor Catalog (8)

1 5 61 305 911 4,555 55,571 277,855

Collatz Trajectory (114 steps to reach 1)

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

277,855 833,566 416,783 1,250,350 625,175 1,875,526 937,763 2,813,290 1,406,645 4,219,936 2,109,968 1,054,984 527,492 263,746 131,873 395,620 197,810 98,905 296,716 148,358 74,179 222,538 111,269 333,808 166,904 83,452 41,726 20,863 62,590 31,295 93,886 46,943 140,830 70,415 211,246 105,623 316,870 158,435 475,306 237,653 712,960 356,480 178,240 89,120 44,560 22,280 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582

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