λ
Ratio Atlas

10,400,489

11 × 47 × 20117
Deficient Odd Composite

10,400,489 factors as 11 × 47 × 20117. Its 8 positive divisors give a proper-divisor sum of 1,187,479, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 11 × 47 × 20117
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,587,968
Proper Divisor Sum 1,187,479
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #10400479 ← → #10400491

Radix Representation

Decimal 10400489
Binary 100111101011001011101001 (24 bits)
Octal 0o47531351
Hexadecimal 0x9EB2E9

Divisor Catalog (8)

Collatz Trajectory (181 steps to reach 1)

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

10,400,489 31,201,468 15,600,734 7,800,367 23,401,102 11,700,551 35,101,654 17,550,827 52,652,482 26,326,241 78,978,724 39,489,362 19,744,681 59,234,044 29,617,022 14,808,511 44,425,534 22,212,767 66,638,302 33,319,151 99,957,454 49,978,727 149,936,182 74,968,091 224,904,274 112,452,137 337,356,412 168,678,206 84,339,103 253,017,310 126,508,655 379,525,966 189,762,983 569,288,950 284,644,475 853,933,426 426,966,713 1,280,900,140 640,450,070 320,225,035 960,675,106 480,337,553 1,441,012,660 720,506,330 360,253,165 1,080,759,496 540,379,748 270,189,874 135,094,937 405,284,812 202,642,406 101,321,203 303,963,610 151,981,805 455,945,416 227,972,708 113,986,354 56,993,177 170,979,532 85,489,766

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