λ
Harmonic Matrix

9,743,431

17 × 573143
Deficient Odd Composite

9,743,431 has digital root 4. The neighboring primes are 9743417 and 9743441; its proper-divisor sum differs from the starting integer by -9,170,270.

Prime Factor Structure

Factorization String 17 × 573143
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,316,592
Proper Divisor Sum 573,161
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9743417 ← → #9743441

Radix Representation

Decimal 9743431
Binary 100101001010110001000111 (24 bits)
Octal 0o45126107
Hexadecimal 0x94AC47

Divisor Catalog (4)

1 17 573,143 9,743,431

Collatz Trajectory (176 steps to reach 1)

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

9,743,431 29,230,294 14,615,147 43,845,442 21,922,721 65,768,164 32,884,082 16,442,041 49,326,124 24,663,062 12,331,531 36,994,594 18,497,297 55,491,892 27,745,946 13,872,973 41,618,920 20,809,460 10,404,730 5,202,365 15,607,096 7,803,548 3,901,774 1,950,887 5,852,662 2,926,331 8,778,994 4,389,497 13,168,492 6,584,246 3,292,123 9,876,370 4,938,185 14,814,556 7,407,278 3,703,639 11,110,918 5,555,459 16,666,378 8,333,189 24,999,568 12,499,784 6,249,892 3,124,946 1,562,473 4,687,420 2,343,710 1,171,855 3,515,566 1,757,783 5,273,350 2,636,675 7,910,026 3,955,013 11,865,040 5,932,520 2,966,260 1,483,130 741,565 2,224,696

More profiles

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