10,729,073

97 × 110609

10,729,073 factors as 97 × 110609. Its 4 positive divisors give a proper-divisor sum of 110,707, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 97 × 110609

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,839,780

Proper Divisor Sum 110,707

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #10729067 ← → #10729093

Radix Representation

Decimal	10729073
Binary	101000111011011001110001 (24 bits)
Octal	0o50733161
Hexadecimal	0xA3B671

Divisor Catalog (4)

1 97 110,609 10,729,073

Collatz Trajectory (96 steps to reach 1)

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

10,729,073 32,187,220 16,093,610 8,046,805 24,140,416 12,070,208 6,035,104 3,017,552 1,508,776 754,388 377,194 188,597 565,792 282,896 141,448 70,724 35,362 17,681 53,044 26,522 13,261 39,784 19,892 9,946 4,973 14,920 7,460 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317

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