λ
Ratio Atlas

12,409,359

3 × 89 × 46477
Deficient Odd Composite

12,409,359 factors as 3 × 89 × 46477. Its 8 positive divisors give a proper-divisor sum of 4,322,721, so this integer is deficient. The Collatz stopping time is 303 steps.

Prime Factor Structure

Factorization String 3 × 89 × 46477
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 16,732,080
Proper Divisor Sum 4,322,721
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #12409357 ← → #12409373

Radix Representation

Decimal 12409359
Binary 101111010101101000001111 (24 bits)
Octal 0o57255017
Hexadecimal 0xBD5A0F

Divisor Catalog (8)

1 3 89 267 46,477 139,431 4,136,453 12,409,359

Collatz Trajectory (303 steps to reach 1)

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

12,409,359 37,228,078 18,614,039 55,842,118 27,921,059 83,763,178 41,881,589 125,644,768 62,822,384 31,411,192 15,705,596 7,852,798 3,926,399 11,779,198 5,889,599 17,668,798 8,834,399 26,503,198 13,251,599 39,754,798 19,877,399 59,632,198 29,816,099 89,448,298 44,724,149 134,172,448 67,086,224 33,543,112 16,771,556 8,385,778 4,192,889 12,578,668 6,289,334 3,144,667 9,434,002 4,717,001 14,151,004 7,075,502 3,537,751 10,613,254 5,306,627 15,919,882 7,959,941 23,879,824 11,939,912 5,969,956 2,984,978 1,492,489 4,477,468 2,238,734 1,119,367 3,358,102 1,679,051 5,037,154 2,518,577 7,555,732 3,777,866 1,888,933 5,666,800 2,833,400

More profiles

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