λ
Ratio Atlas

9,729,618

2 × 3 × 359 × 4517
Abundant Even Composite

9,729,618 factors as 2 × 3 × 359 × 4517. Its 16 positive divisors give a proper-divisor sum of 9,788,142, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2 × 3 × 359 × 4517
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 19,517,760
Proper Divisor Sum 9,788,142
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9729613 ← → #9729619

Radix Representation

Decimal 9729618
Binary 100101000111011001010010 (24 bits)
Octal 0o45073122
Hexadecimal 0x947652

Divisor Catalog (16)

Collatz Trajectory (181 steps to reach 1)

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

9,729,618 4,864,809 14,594,428 7,297,214 3,648,607 10,945,822 5,472,911 16,418,734 8,209,367 24,628,102 12,314,051 36,942,154 18,471,077 55,413,232 27,706,616 13,853,308 6,926,654 3,463,327 10,389,982 5,194,991 15,584,974 7,792,487 23,377,462 11,688,731 35,066,194 17,533,097 52,599,292 26,299,646 13,149,823 39,449,470 19,724,735 59,174,206 29,587,103 88,761,310 44,380,655 133,141,966 66,570,983 199,712,950 99,856,475 299,569,426 149,784,713 449,354,140 224,677,070 112,338,535 337,015,606 168,507,803 505,523,410 252,761,705 758,285,116 379,142,558 189,571,279 568,713,838 284,356,919 853,070,758 426,535,379 1,279,606,138 639,803,069 1,919,409,208 959,704,604 479,852,302

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