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Atlas › Integer Profiles › Node 5,563,905

5,563,905

3 × 5 × 41 × 83 × 109
Deficient Odd Composite

5,563,905 factors as 3 × 5 × 41 × 83 × 109. Its 32 positive divisors give a proper-divisor sum of 3,750,015, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 3 × 5 × 41 × 83 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,313,920
Proper Divisor Sum 3,750,015
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5563843 ← → #5563919

Radix Representation

Decimal 5563905
Binary 10101001110011000000001 (23 bits)
Octal 0o25163001
Hexadecimal 0x54E601

Divisor Catalog (32)

1 3 5 15 41 83 109 123 205 249 327 415 545 615 1,245 1,635 3,403 4,469 9,047 10,209 13,407 17,015 22,345 27,141 45,235 51,045 67,035 135,705 370,927 1,112,781 1,854,635 5,563,905

Collatz Trajectory (113 steps to reach 1)

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

5,563,905 16,691,716 8,345,858 4,172,929 12,518,788 6,259,394 3,129,697 9,389,092 4,694,546 2,347,273 7,041,820 3,520,910 1,760,455 5,281,366 2,640,683 7,922,050 3,961,025 11,883,076 5,941,538 2,970,769 8,912,308 4,456,154 2,228,077 6,684,232 3,342,116 1,671,058 835,529 2,506,588 1,253,294 626,647 1,879,942 939,971 2,819,914 1,409,957 4,229,872 2,114,936 1,057,468 528,734 264,367 793,102 396,551 1,189,654 594,827 1,784,482 892,241 2,676,724 1,338,362 669,181 2,007,544 1,003,772 501,886 250,943 752,830 376,415 1,129,246 564,623 1,693,870 846,935 2,540,806 1,270,403

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