7,776,474

2 × 3 × 31 × 41809

Starting at 7,776,474, the Collatz iteration reaches 1 after 248 steps. The first transition is 3888237; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 41809

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,055,040

Proper Divisor Sum 8,278,566

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7776473 ← → #7776541

Radix Representation

Decimal	7776474
Binary	11101101010100011011010 (23 bits)
Octal	0o35524332
Hexadecimal	0x76A8DA

Divisor Catalog (16)

1 2 3 6 31 62 93 186 41,809 83,618 125,427 250,854 1,296,079 2,592,158 3,888,237 7,776,474

Collatz Trajectory (248 steps to reach 1)

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

7,776,474 3,888,237 11,664,712 5,832,356 2,916,178 1,458,089 4,374,268 2,187,134 1,093,567 3,280,702 1,640,351 4,921,054 2,460,527 7,381,582 3,690,791 11,072,374 5,536,187 16,608,562 8,304,281 24,912,844 12,456,422 6,228,211 18,684,634 9,342,317 28,026,952 14,013,476 7,006,738 3,503,369 10,510,108 5,255,054 2,627,527 7,882,582 3,941,291 11,823,874 5,911,937 17,735,812 8,867,906 4,433,953 13,301,860 6,650,930 3,325,465 9,976,396 4,988,198 2,494,099 7,482,298 3,741,149 11,223,448 5,611,724 2,805,862 1,402,931 4,208,794 2,104,397 6,313,192 3,156,596 1,578,298 789,149 2,367,448 1,183,724 591,862 295,931

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