8,761,377

3 × 53 × 55103

Starting at 8,761,377, the Collatz iteration reaches 1 after 106 steps. The first transition is 26284132; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 53 × 55103

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,902,464

Proper Divisor Sum 3,141,087

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8761339 ← → #8761429

Radix Representation

Decimal	8761377
Binary	100001011011000000100001 (24 bits)
Octal	0o41330041
Hexadecimal	0x85B021

Divisor Catalog (8)

1 3 53 159 55,103 165,309 2,920,459 8,761,377

Collatz Trajectory (106 steps to reach 1)

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

8,761,377 26,284,132 13,142,066 6,571,033 19,713,100 9,856,550 4,928,275 14,784,826 7,392,413 22,177,240 11,088,620 5,544,310 2,772,155 8,316,466 4,158,233 12,474,700 6,237,350 3,118,675 9,356,026 4,678,013 14,034,040 7,017,020 3,508,510 1,754,255 5,262,766 2,631,383 7,894,150 3,947,075 11,841,226 5,920,613 17,761,840 8,880,920 4,440,460 2,220,230 1,110,115 3,330,346 1,665,173 4,995,520 2,497,760 1,248,880 624,440 312,220 156,110 78,055 234,166 117,083 351,250 175,625 526,876 263,438 131,719 395,158 197,579 592,738 296,369 889,108 444,554 222,277 666,832 333,416

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