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Atlas › Integer Profiles › Node 12,333,410

12,333,410

2 × 5 × 29 × 71 × 599
Deficient Even Composite

12,333,410 factors as 2 × 5 × 29 × 71 × 599. Its 32 positive divisors give a proper-divisor sum of 10,994,590, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2 × 5 × 29 × 71 × 599
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,328,000
Proper Divisor Sum 10,994,590
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #12333379 ← → #12333437

Radix Representation

Decimal 12333410
Binary 101111000011000101100010 (24 bits)
Octal 0o57030542
Hexadecimal 0xBC3162

Divisor Catalog (32)

1 2 5 10 29 58 71 142 145 290 355 599 710 1,198 2,059 2,995 4,118 5,990 10,295 17,371 20,590 34,742 42,529 85,058 86,855 173,710 212,645 425,290 1,233,341 2,466,682 6,166,705 12,333,410

Collatz Trajectory (109 steps to reach 1)

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

12,333,410 6,166,705 18,500,116 9,250,058 4,625,029 13,875,088 6,937,544 3,468,772 1,734,386 867,193 2,601,580 1,300,790 650,395 1,951,186 975,593 2,926,780 1,463,390 731,695 2,195,086 1,097,543 3,292,630 1,646,315 4,938,946 2,469,473 7,408,420 3,704,210 1,852,105 5,556,316 2,778,158 1,389,079 4,167,238 2,083,619 6,250,858 3,125,429 9,376,288 4,688,144 2,344,072 1,172,036 586,018 293,009 879,028 439,514 219,757 659,272 329,636 164,818 82,409 247,228 123,614 61,807 185,422 92,711 278,134 139,067 417,202 208,601 625,804 312,902 156,451 469,354

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