7,732,615

5 × 11 × 140593

Starting at 7,732,615, the Collatz iteration reaches 1 after 186 steps. The first transition is 23197846; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 140593

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,122,768

Proper Divisor Sum 2,390,153

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7732607 ← → #7732631

Radix Representation

Decimal	7732615
Binary	11101011111110110000111 (23 bits)
Octal	0o35376607
Hexadecimal	0x75FD87

Divisor Catalog (8)

1 5 11 55 140,593 702,965 1,546,523 7,732,615

Collatz Trajectory (186 steps to reach 1)

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

7,732,615 23,197,846 11,598,923 34,796,770 17,398,385 52,195,156 26,097,578 13,048,789 39,146,368 19,573,184 9,786,592 4,893,296 2,446,648 1,223,324 611,662 305,831 917,494 458,747 1,376,242 688,121 2,064,364 1,032,182 516,091 1,548,274 774,137 2,322,412 1,161,206 580,603 1,741,810 870,905 2,612,716 1,306,358 653,179 1,959,538 979,769 2,939,308 1,469,654 734,827 2,204,482 1,102,241 3,306,724 1,653,362 826,681 2,480,044 1,240,022 620,011 1,860,034 930,017 2,790,052 1,395,026 697,513 2,092,540 1,046,270 523,135 1,569,406 784,703 2,354,110 1,177,055 3,531,166 1,765,583

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