9,729,550

2 × 5² × 194591

9,729,550 factors as 2 × 5^2 × 194591. Its 12 positive divisors give a proper-divisor sum of 8,367,506, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 194591

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 18,097,056

Proper Divisor Sum 8,367,506

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9729541 ← → #9729553

Radix Representation

Decimal	9729550
Binary	100101000111011000001110 (24 bits)
Octal	0o45073016
Hexadecimal	0x94760E

Divisor Catalog (12)

1 2 5 10 25 50 194,591 389,182 972,955 1,945,910 4,864,775 9,729,550

Collatz Trajectory (114 steps to reach 1)

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

9,729,550 4,864,775 14,594,326 7,297,163 21,891,490 10,945,745 32,837,236 16,418,618 8,209,309 24,627,928 12,313,964 6,156,982 3,078,491 9,235,474 4,617,737 13,853,212 6,926,606 3,463,303 10,389,910 5,194,955 15,584,866 7,792,433 23,377,300 11,688,650 5,844,325 17,532,976 8,766,488 4,383,244 2,191,622 1,095,811 3,287,434 1,643,717 4,931,152 2,465,576 1,232,788 616,394 308,197 924,592 462,296 231,148 115,574 57,787 173,362 86,681 260,044 130,022 65,011 195,034 97,517 292,552 146,276 73,138 36,569 109,708 54,854 27,427 82,282 41,141 123,424 61,712

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