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Atlas › Integer Profiles › Node 12,349,449

12,349,449

33 × 7 × 192 × 181
Deficient Odd Composite

12,349,449 factors as 3^3 × 7 × 19^2 × 181. Its 48 positive divisors give a proper-divisor sum of 9,839,991, so this integer is deficient. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 19^2 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,189,440
Proper Divisor Sum 9,839,991
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #12349433 ← → #12349489

Radix Representation

Decimal 12349449
Binary 101111000111000000001001 (24 bits)
Octal 0o57070011
Hexadecimal 0xBC7009

Divisor Catalog (48)

1 3 7 9 19 21 27 57 63 133 171 181 189 361 399 513 543 1,083 1,197 1,267 1,629 2,527 3,249 3,439 3,591 3,801 4,887 7,581 9,747 10,317 11,403 22,743 24,073 30,951 34,209 65,341 68,229 72,219 92,853 196,023 216,657 457,387 588,069 649,971 1,372,161 1,764,207 4,116,483 12,349,449

Collatz Trajectory (78 steps to reach 1)

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

12,349,449 37,048,348 18,524,174 9,262,087 27,786,262 13,893,131 41,679,394 20,839,697 62,519,092 31,259,546 15,629,773 46,889,320 23,444,660 11,722,330 5,861,165 17,583,496 8,791,748 4,395,874 2,197,937 6,593,812 3,296,906 1,648,453 4,945,360 2,472,680 1,236,340 618,170 309,085 927,256 463,628 231,814 115,907 347,722 173,861 521,584 260,792 130,396 65,198 32,599 97,798 48,899 146,698 73,349 220,048 110,024 55,012 27,506 13,753 41,260 20,630 10,315 30,946 15,473 46,420 23,210 11,605 34,816 17,408 8,704 4,352 2,176

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