7,732,307

11 × 702937

Starting at 7,732,307, the Collatz iteration reaches 1 after 217 steps. The first transition is 23196922; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 702937

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,435,256

Proper Divisor Sum 702,949

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7732289 ← → #7732321

Radix Representation

Decimal	7732307
Binary	11101011111110001010011 (23 bits)
Octal	0o35376123
Hexadecimal	0x75FC53

Divisor Catalog (4)

1 11 702,937 7,732,307

Collatz Trajectory (217 steps to reach 1)

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

7,732,307 23,196,922 11,598,461 34,795,384 17,397,692 8,698,846 4,349,423 13,048,270 6,524,135 19,572,406 9,786,203 29,358,610 14,679,305 44,037,916 22,018,958 11,009,479 33,028,438 16,514,219 49,542,658 24,771,329 74,313,988 37,156,994 18,578,497 55,735,492 27,867,746 13,933,873 41,801,620 20,900,810 10,450,405 31,351,216 15,675,608 7,837,804 3,918,902 1,959,451 5,878,354 2,939,177 8,817,532 4,408,766 2,204,383 6,613,150 3,306,575 9,919,726 4,959,863 14,879,590 7,439,795 22,319,386 11,159,693 33,479,080 16,739,540 8,369,770 4,184,885 12,554,656 6,277,328 3,138,664 1,569,332 784,666 392,333 1,177,000 588,500 294,250

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