λ
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Atlas › Integer Profiles › Node 4,451,073

4,451,073

3 × 11 × 19 × 31 × 229
Deficient Odd Composite

4,451,073 factors as 3 × 11 × 19 × 31 × 229. Its 32 positive divisors give a proper-divisor sum of 2,614,527, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3 × 11 × 19 × 31 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,065,600
Proper Divisor Sum 2,614,527
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4451071 ← → #4451081

Radix Representation

Decimal 4451073
Binary 10000111110101100000001 (23 bits)
Octal 0o20765401
Hexadecimal 0x43EB01

Divisor Catalog (32)

1 3 11 19 31 33 57 93 209 229 341 589 627 687 1,023 1,767 2,519 4,351 6,479 7,099 7,557 13,053 19,437 21,297 47,861 78,089 134,881 143,583 234,267 404,643 1,483,691 4,451,073

Collatz Trajectory (180 steps to reach 1)

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

4,451,073 13,353,220 6,676,610 3,338,305 10,014,916 5,007,458 2,503,729 7,511,188 3,755,594 1,877,797 5,633,392 2,816,696 1,408,348 704,174 352,087 1,056,262 528,131 1,584,394 792,197 2,376,592 1,188,296 594,148 297,074 148,537 445,612 222,806 111,403 334,210 167,105 501,316 250,658 125,329 375,988 187,994 93,997 281,992 140,996 70,498 35,249 105,748 52,874 26,437 79,312 39,656 19,828 9,914 4,957 14,872 7,436 3,718 1,859 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785

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