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Atlas › Integer Profiles › Node 12,462,905

12,462,905

5 × 73 × 132 × 43
Deficient Odd Composite

12,462,905 factors as 5 × 7^3 × 13^2 × 43. Its 48 positive divisors give a proper-divisor sum of 6,861,895, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 5 × 7^3 × 13^2 × 43
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,324,800
Proper Divisor Sum 6,861,895
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #12462889 ← → #12462907

Radix Representation

Decimal 12462905
Binary 101111100010101100111001 (24 bits)
Octal 0o57425471
Hexadecimal 0xBE2B39

Divisor Catalog (48)

1 5 7 13 35 43 49 65 91 169 215 245 301 343 455 559 637 845 1,183 1,505 1,715 2,107 2,795 3,185 3,913 4,459 5,915 7,267 8,281 10,535 14,749 19,565 22,295 27,391 36,335 41,405 50,869 57,967 73,745 136,955 191,737 254,345 289,835 356,083 958,685 1,780,415 2,492,581 12,462,905

Collatz Trajectory (228 steps to reach 1)

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

12,462,905 37,388,716 18,694,358 9,347,179 28,041,538 14,020,769 42,062,308 21,031,154 10,515,577 31,546,732 15,773,366 7,886,683 23,660,050 11,830,025 35,490,076 17,745,038 8,872,519 26,617,558 13,308,779 39,926,338 19,963,169 59,889,508 29,944,754 14,972,377 44,917,132 22,458,566 11,229,283 33,687,850 16,843,925 50,531,776 25,265,888 12,632,944 6,316,472 3,158,236 1,579,118 789,559 2,368,678 1,184,339 3,553,018 1,776,509 5,329,528 2,664,764 1,332,382 666,191 1,998,574 999,287 2,997,862 1,498,931 4,496,794 2,248,397 6,745,192 3,372,596 1,686,298 843,149 2,529,448 1,264,724 632,362 316,181 948,544 474,272

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