7,108,562

2 × 47² × 1609

7,108,562 factors as 2 × 47^2 × 1609. Its 12 positive divisors give a proper-divisor sum of 3,792,748, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2 × 47^2 × 1609

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,901,310

Proper Divisor Sum 3,792,748

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7108553 ← → #7108573

Radix Representation

Decimal	7108562
Binary	11011000111011111010010 (23 bits)
Octal	0o33073722
Hexadecimal	0x6C77D2

Divisor Catalog (12)

1 2 47 94 1,609 2,209 3,218 4,418 75,623 151,246 3,554,281 7,108,562

Collatz Trajectory (121 steps to reach 1)

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

7,108,562 3,554,281 10,662,844 5,331,422 2,665,711 7,997,134 3,998,567 11,995,702 5,997,851 17,993,554 8,996,777 26,990,332 13,495,166 6,747,583 20,242,750 10,121,375 30,364,126 15,182,063 45,546,190 22,773,095 68,319,286 34,159,643 102,478,930 51,239,465 153,718,396 76,859,198 38,429,599 115,288,798 57,644,399 172,933,198 86,466,599 259,399,798 129,699,899 389,099,698 194,549,849 583,649,548 291,824,774 145,912,387 437,737,162 218,868,581 656,605,744 328,302,872 164,151,436 82,075,718 41,037,859 123,113,578 61,556,789 184,670,368 92,335,184 46,167,592 23,083,796 11,541,898 5,770,949 17,312,848 8,656,424 4,328,212 2,164,106 1,082,053 3,246,160 1,623,080

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