8,776,130

2 × 5 × 11² × 7253

Starting at 8,776,130, the Collatz iteration reaches 1 after 173 steps. The first transition is 4388065; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11^2 × 7253

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,366,076

Proper Divisor Sum 8,589,946

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8776121 ← → #8776151

Radix Representation

Decimal	8776130
Binary	100001011110100111000010 (24 bits)
Octal	0o41364702
Hexadecimal	0x85E9C2

Divisor Catalog (24)

1 2 5 10 11 22 55 110 121 242 605 1,210 7,253 14,506 36,265 72,530 79,783 159,566 398,915 797,830 877,613 1,755,226 4,388,065 8,776,130

Collatz Trajectory (173 steps to reach 1)

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

8,776,130 4,388,065 13,164,196 6,582,098 3,291,049 9,873,148 4,936,574 2,468,287 7,404,862 3,702,431 11,107,294 5,553,647 16,660,942 8,330,471 24,991,414 12,495,707 37,487,122 18,743,561 56,230,684 28,115,342 14,057,671 42,173,014 21,086,507 63,259,522 31,629,761 94,889,284 47,444,642 23,722,321 71,166,964 35,583,482 17,791,741 53,375,224 26,687,612 13,343,806 6,671,903 20,015,710 10,007,855 30,023,566 15,011,783 45,035,350 22,517,675 67,553,026 33,776,513 101,329,540 50,664,770 25,332,385 75,997,156 37,998,578 18,999,289 56,997,868 28,498,934 14,249,467 42,748,402 21,374,201 64,122,604 32,061,302 16,030,651 48,091,954 24,045,977 72,137,932

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