7,717,596

2² × 3 × 29 × 67 × 331

Starting at 7,717,596, the Collatz iteration reaches 1 after 230 steps. The first transition is 3858798; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 67 × 331

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,963,840

Proper Divisor Sum 11,246,244

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7717579 ← → #7717607

Radix Representation

Decimal	7717596
Binary	11101011100001011011100 (23 bits)
Octal	0o35341334
Hexadecimal	0x75C2DC

Divisor Catalog (48)

1 2 3 4 6 12 29 58 67 87 116 134 174 201 268 331 348 402 662 804 993 1,324 1,943 1,986 3,886 3,972 5,829 7,772 9,599 11,658 19,198 22,177 23,316 28,797 38,396 44,354 57,594 66,531 88,708 115,188 133,062 266,124 643,133 1,286,266 1,929,399 2,572,532 3,858,798 7,717,596

Collatz Trajectory (230 steps to reach 1)

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

7,717,596 3,858,798 1,929,399 5,788,198 2,894,099 8,682,298 4,341,149 13,023,448 6,511,724 3,255,862 1,627,931 4,883,794 2,441,897 7,325,692 3,662,846 1,831,423 5,494,270 2,747,135 8,241,406 4,120,703 12,362,110 6,181,055 18,543,166 9,271,583 27,814,750 13,907,375 41,722,126 20,861,063 62,583,190 31,291,595 93,874,786 46,937,393 140,812,180 70,406,090 35,203,045 105,609,136 52,804,568 26,402,284 13,201,142 6,600,571 19,801,714 9,900,857 29,702,572 14,851,286 7,425,643 22,276,930 11,138,465 33,415,396 16,707,698 8,353,849 25,061,548 12,530,774 6,265,387 18,796,162 9,398,081 28,194,244 14,097,122 7,048,561 21,145,684 10,572,842

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