7,922,427

3 × 293 × 9013

Starting at 7,922,427, the Collatz iteration reaches 1 after 186 steps. The first transition is 23767282; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 293 × 9013

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,600,464

Proper Divisor Sum 2,678,037

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7922413 ← → #7922441

Radix Representation

Decimal	7922427
Binary	11110001110001011111011 (23 bits)
Octal	0o36161373
Hexadecimal	0x78E2FB

Divisor Catalog (8)

1 3 293 879 9,013 27,039 2,640,809 7,922,427

Collatz Trajectory (186 steps to reach 1)

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

7,922,427 23,767,282 11,883,641 35,650,924 17,825,462 8,912,731 26,738,194 13,369,097 40,107,292 20,053,646 10,026,823 30,080,470 15,040,235 45,120,706 22,560,353 67,681,060 33,840,530 16,920,265 50,760,796 25,380,398 12,690,199 38,070,598 19,035,299 57,105,898 28,552,949 85,658,848 42,829,424 21,414,712 10,707,356 5,353,678 2,676,839 8,030,518 4,015,259 12,045,778 6,022,889 18,068,668 9,034,334 4,517,167 13,551,502 6,775,751 20,327,254 10,163,627 30,490,882 15,245,441 45,736,324 22,868,162 11,434,081 34,302,244 17,151,122 8,575,561 25,726,684 12,863,342 6,431,671 19,295,014 9,647,507 28,942,522 14,471,261 43,413,784 21,706,892 10,853,446

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