9,723,446

2 × 643 × 7561

9,723,446 factors as 2 × 643 × 7561. Its 8 positive divisors give a proper-divisor sum of 4,886,338, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2 × 643 × 7561

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,609,784

Proper Divisor Sum 4,886,338

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9723431 ← → #9723449

Radix Representation

Decimal	9723446
Binary	100101000101111000110110 (24 bits)
Octal	0o45057066
Hexadecimal	0x945E36

Divisor Catalog (8)

1 2 643 1,286 7,561 15,122 4,861,723 9,723,446

Collatz Trajectory (225 steps to reach 1)

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

9,723,446 4,861,723 14,585,170 7,292,585 21,877,756 10,938,878 5,469,439 16,408,318 8,204,159 24,612,478 12,306,239 36,918,718 18,459,359 55,378,078 27,689,039 83,067,118 41,533,559 124,600,678 62,300,339 186,901,018 93,450,509 280,351,528 140,175,764 70,087,882 35,043,941 105,131,824 52,565,912 26,282,956 13,141,478 6,570,739 19,712,218 9,856,109 29,568,328 14,784,164 7,392,082 3,696,041 11,088,124 5,544,062 2,772,031 8,316,094 4,158,047 12,474,142 6,237,071 18,711,214 9,355,607 28,066,822 14,033,411 42,100,234 21,050,117 63,150,352 31,575,176 15,787,588 7,893,794 3,946,897 11,840,692 5,920,346 2,960,173 8,880,520 4,440,260 2,220,130

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