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Atlas › Integer Profiles › Node 12,374,505

12,374,505

33 × 5 × 11 × 13 × 641
Abundant Odd Composite

12,374,505 factors as 3^3 × 5 × 11 × 13 × 641. Its 64 positive divisors give a proper-divisor sum of 13,510,935, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 11 × 13 × 641
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,885,440
Proper Divisor Sum 13,510,935
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #12374477 ← → #12374507

Radix Representation

Decimal 12374505
Binary 101111001101000111101001 (24 bits)
Octal 0o57150751
Hexadecimal 0xBCD1E9

Divisor Catalog (60 of 64)

1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 135 143 165 195 297 351 429 495 585 641 715 1,287 1,485 1,755 1,923 2,145 3,205 3,861 5,769 6,435 7,051 8,333 9,615 17,307 19,305 21,153 24,999 28,845 35,255 41,665 63,459 74,997 86,535 91,663 105,765 124,995 190,377 224,991 274,989 317,295 374,985 458,315 824,967 951,885 1,124,955

Collatz Trajectory (197 steps to reach 1)

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

12,374,505 37,123,516 18,561,758 9,280,879 27,842,638 13,921,319 41,763,958 20,881,979 62,645,938 31,322,969 93,968,908 46,984,454 23,492,227 70,476,682 35,238,341 105,715,024 52,857,512 26,428,756 13,214,378 6,607,189 19,821,568 9,910,784 4,955,392 2,477,696 1,238,848 619,424 309,712 154,856 77,428 38,714 19,357 58,072 29,036 14,518 7,259 21,778 10,889 32,668 16,334 8,167 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085

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