λ
Harmonic Matrix

9,605,389

9605389
Deficient Odd Prime

9,605,389 has digital root 4. The neighboring primes are 9605371 and 9605411; its proper-divisor sum differs from the starting integer by -9,605,388.

Prime Factor Structure

Factorization String 9605389
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,605,390
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9605371 ← → #9605411

Radix Representation

Decimal 9605389
Binary 100100101001000100001101 (24 bits)
Octal 0o44510415
Hexadecimal 0x92910D

Divisor Catalog (2)

Collatz Trajectory (238 steps to reach 1)

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

9,605,389 28,816,168 14,408,084 7,204,042 3,602,021 10,806,064 5,403,032 2,701,516 1,350,758 675,379 2,026,138 1,013,069 3,039,208 1,519,604 759,802 379,901 1,139,704 569,852 284,926 142,463 427,390 213,695 641,086 320,543 961,630 480,815 1,442,446 721,223 2,163,670 1,081,835 3,245,506 1,622,753 4,868,260 2,434,130 1,217,065 3,651,196 1,825,598 912,799 2,738,398 1,369,199 4,107,598 2,053,799 6,161,398 3,080,699 9,242,098 4,621,049 13,863,148 6,931,574 3,465,787 10,397,362 5,198,681 15,596,044 7,798,022 3,899,011 11,697,034 5,848,517 17,545,552 8,772,776 4,386,388 2,193,194

More profiles

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