λ
Ratio Atlas
Atlas › Integer Profiles › Node 49,375,060

49,375,060

22 × 5 × 7 × 127 × 2777
Abundant Even Composite

49,375,060 factors as 2^2 × 5 × 7 × 127 × 2777. Its 48 positive divisors give a proper-divisor sum of 70,101,164, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 127 × 2777
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 119,476,224
Proper Divisor Sum 70,101,164
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #49375019 ← → #49375061

Radix Representation

Decimal 49375060
Binary 10111100010110011101010100 (26 bits)
Octal 0o274263524
Hexadecimal 0x2F16754

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 127 140 254 508 635 889 1,270 1,778 2,540 2,777 3,556 4,445 5,554 8,890 11,108 13,885 17,780 19,439 27,770 38,878 55,540 77,756 97,195 194,390 352,679 388,780 705,358 1,410,716 1,763,395 2,468,753 3,526,790 4,937,506 7,053,580 9,875,012 12,343,765 24,687,530 49,375,060

Collatz Trajectory (137 steps to reach 1)

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

49,375,060 24,687,530 12,343,765 37,031,296 18,515,648 9,257,824 4,628,912 2,314,456 1,157,228 578,614 289,307 867,922 433,961 1,301,884 650,942 325,471 976,414 488,207 1,464,622 732,311 2,196,934 1,098,467 3,295,402 1,647,701 4,943,104 2,471,552 1,235,776 617,888 308,944 154,472 77,236 38,618 19,309 57,928 28,964 14,482 7,241 21,724 10,862 5,431 16,294 8,147 24,442 12,221 36,664 18,332 9,166 4,583 13,750 6,875 20,626 10,313 30,940 15,470 7,735 23,206 11,603 34,810 17,405 52,216

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #49,375,059 Browse Full Index Next Integer #49,375,061 →