λ
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Atlas › Integer Profiles › Node 4,454,065

4,454,065

5 × 7 × 11 × 23 × 503
Deficient Odd Composite

4,454,065 factors as 5 × 7 × 11 × 23 × 503. Its 32 positive divisors give a proper-divisor sum of 2,513,231, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 23 × 503
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,967,296
Proper Divisor Sum 2,513,231
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4454059 ← → #4454071

Radix Representation

Decimal 4454065
Binary 10000111111011010110001 (23 bits)
Octal 0o20773261
Hexadecimal 0x43F6B1

Divisor Catalog (32)

1 5 7 11 23 35 55 77 115 161 253 385 503 805 1,265 1,771 2,515 3,521 5,533 8,855 11,569 17,605 27,665 38,731 57,845 80,983 127,259 193,655 404,915 636,295 890,813 4,454,065

Collatz Trajectory (211 steps to reach 1)

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

4,454,065 13,362,196 6,681,098 3,340,549 10,021,648 5,010,824 2,505,412 1,252,706 626,353 1,879,060 939,530 469,765 1,409,296 704,648 352,324 176,162 88,081 264,244 132,122 66,061 198,184 99,092 49,546 24,773 74,320 37,160 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295

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