7,382,846

2 × 139 × 26557

Starting at 7,382,846, the Collatz iteration reaches 1 after 85 steps. The first transition is 3691423; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 139 × 26557

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,154,360

Proper Divisor Sum 3,771,514

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7382833 ← → #7382857

Radix Representation

Decimal	7382846
Binary	11100001010011100111110 (23 bits)
Octal	0o34123476
Hexadecimal	0x70A73E

Divisor Catalog (8)

1 2 139 278 26,557 53,114 3,691,423 7,382,846

Collatz Trajectory (85 steps to reach 1)

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

7,382,846 3,691,423 11,074,270 5,537,135 16,611,406 8,305,703 24,917,110 12,458,555 37,375,666 18,687,833 56,063,500 28,031,750 14,015,875 42,047,626 21,023,813 63,071,440 31,535,720 15,767,860 7,883,930 3,941,965 11,825,896 5,912,948 2,956,474 1,478,237 4,434,712 2,217,356 1,108,678 554,339 1,663,018 831,509 2,494,528 1,247,264 623,632 311,816 155,908 77,954 38,977 116,932 58,466 29,233 87,700 43,850 21,925 65,776 32,888 16,444 8,222 4,111 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301

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