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Atlas › Integer Profiles › Node 7,761,897

7,761,897

32 × 11 × 13 × 37 × 163
Deficient Odd Composite

7,761,897 factors as 3^2 × 11 × 13 × 37 × 163. Its 48 positive divisors give a proper-divisor sum of 5,848,791, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 13 × 37 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,610,688
Proper Divisor Sum 5,848,791
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7761889 ← → #7761907

Radix Representation

Decimal 7761897
Binary 11101100110111111101001 (23 bits)
Octal 0o35467751
Hexadecimal 0x766FE9

Divisor Catalog (48)

1 3 9 11 13 33 37 39 99 111 117 143 163 333 407 429 481 489 1,221 1,287 1,443 1,467 1,793 2,119 3,663 4,329 5,291 5,379 6,031 6,357 15,873 16,137 18,093 19,071 23,309 47,619 54,279 66,341 69,927 78,403 199,023 209,781 235,209 597,069 705,627 862,433 2,587,299 7,761,897

Collatz Trajectory (155 steps to reach 1)

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

7,761,897 23,285,692 11,642,846 5,821,423 17,464,270 8,732,135 26,196,406 13,098,203 39,294,610 19,647,305 58,941,916 29,470,958 14,735,479 44,206,438 22,103,219 66,309,658 33,154,829 99,464,488 49,732,244 24,866,122 12,433,061 37,299,184 18,649,592 9,324,796 4,662,398 2,331,199 6,993,598 3,496,799 10,490,398 5,245,199 15,735,598 7,867,799 23,603,398 11,801,699 35,405,098 17,702,549 53,107,648 26,553,824 13,276,912 6,638,456 3,319,228 1,659,614 829,807 2,489,422 1,244,711 3,734,134 1,867,067 5,601,202 2,800,601 8,401,804 4,200,902 2,100,451 6,301,354 3,150,677 9,452,032 4,726,016 2,363,008 1,181,504 590,752 295,376

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