7,579,134

2 × 3² × 263 × 1601

Starting at 7,579,134, the Collatz iteration reaches 1 after 129 steps. The first transition is 3789567; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 263 × 1601

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,494,192

Proper Divisor Sum 8,915,058

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7579123 ← → #7579139

Radix Representation

Decimal	7579134
Binary	11100111010010111111110 (23 bits)
Octal	0o34722776
Hexadecimal	0x73A5FE

Divisor Catalog (24)

1 2 3 6 9 18 263 526 789 1,578 1,601 2,367 3,202 4,734 4,803 9,606 14,409 28,818 421,063 842,126 1,263,189 2,526,378 3,789,567 7,579,134

Collatz Trajectory (129 steps to reach 1)

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

7,579,134 3,789,567 11,368,702 5,684,351 17,053,054 8,526,527 25,579,582 12,789,791 38,369,374 19,184,687 57,554,062 28,777,031 86,331,094 43,165,547 129,496,642 64,748,321 194,244,964 97,122,482 48,561,241 145,683,724 72,841,862 36,420,931 109,262,794 54,631,397 163,894,192 81,947,096 40,973,548 20,486,774 10,243,387 30,730,162 15,365,081 46,095,244 23,047,622 11,523,811 34,571,434 17,285,717 51,857,152 25,928,576 12,964,288 6,482,144 3,241,072 1,620,536 810,268 405,134 202,567 607,702 303,851 911,554 455,777 1,367,332 683,666 341,833 1,025,500 512,750 256,375 769,126 384,563 1,153,690 576,845 1,730,536

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