7,759,647

3² × 7 × 123169

Starting at 7,759,647, the Collatz iteration reaches 1 after 217 steps. The first transition is 23278942; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 123169

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,809,680

Proper Divisor Sum 5,050,033

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7759639 ← → #7759649

Radix Representation

Decimal	7759647
Binary	11101100110011100011111 (23 bits)
Octal	0o35463437
Hexadecimal	0x76671F

Divisor Catalog (12)

1 3 7 9 21 63 123,169 369,507 862,183 1,108,521 2,586,549 7,759,647

Collatz Trajectory (217 steps to reach 1)

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

7,759,647 23,278,942 11,639,471 34,918,414 17,459,207 52,377,622 26,188,811 78,566,434 39,283,217 117,849,652 58,924,826 29,462,413 88,387,240 44,193,620 22,096,810 11,048,405 33,145,216 16,572,608 8,286,304 4,143,152 2,071,576 1,035,788 517,894 258,947 776,842 388,421 1,165,264 582,632 291,316 145,658 72,829 218,488 109,244 54,622 27,311 81,934 40,967 122,902 61,451 184,354 92,177 276,532 138,266 69,133 207,400 103,700 51,850 25,925 77,776 38,888 19,444 9,722 4,861 14,584 7,292 3,646 1,823 5,470 2,735 8,206

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