7,766,182

2 × 31 × 125261

Starting at 7,766,182, the Collatz iteration reaches 1 after 142 steps. The first transition is 3883091; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 31 × 125261

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,025,152

Proper Divisor Sum 4,258,970

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7766153 ← → #7766201

Radix Representation

Decimal	7766182
Binary	11101101000000010100110 (23 bits)
Octal	0o35500246
Hexadecimal	0x7680A6

Divisor Catalog (8)

1 2 31 62 125,261 250,522 3,883,091 7,766,182

Collatz Trajectory (142 steps to reach 1)

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

7,766,182 3,883,091 11,649,274 5,824,637 17,473,912 8,736,956 4,368,478 2,184,239 6,552,718 3,276,359 9,829,078 4,914,539 14,743,618 7,371,809 22,115,428 11,057,714 5,528,857 16,586,572 8,293,286 4,146,643 12,439,930 6,219,965 18,659,896 9,329,948 4,664,974 2,332,487 6,997,462 3,498,731 10,496,194 5,248,097 15,744,292 7,872,146 3,936,073 11,808,220 5,904,110 2,952,055 8,856,166 4,428,083 13,284,250 6,642,125 19,926,376 9,963,188 4,981,594 2,490,797 7,472,392 3,736,196 1,868,098 934,049 2,802,148 1,401,074 700,537 2,101,612 1,050,806 525,403 1,576,210 788,105 2,364,316 1,182,158 591,079 1,773,238

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