9,728,918

2 × 137 × 35507

9,728,918 factors as 2 × 137 × 35507. Its 8 positive divisors give a proper-divisor sum of 4,971,394, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 137 × 35507

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,700,312

Proper Divisor Sum 4,971,394

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9728909 ← → #9728921

Radix Representation

Decimal	9728918
Binary	100101000111001110010110 (24 bits)
Octal	0o45071626
Hexadecimal	0x947396

Divisor Catalog (8)

1 2 137 274 35,507 71,014 4,864,459 9,728,918

Collatz Trajectory (114 steps to reach 1)

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

9,728,918 4,864,459 14,593,378 7,296,689 21,890,068 10,945,034 5,472,517 16,417,552 8,208,776 4,104,388 2,052,194 1,026,097 3,078,292 1,539,146 769,573 2,308,720 1,154,360 577,180 288,590 144,295 432,886 216,443 649,330 324,665 973,996 486,998 243,499 730,498 365,249 1,095,748 547,874 273,937 821,812 410,906 205,453 616,360 308,180 154,090 77,045 231,136 115,568 57,784 28,892 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720

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