λ
Ratio Atlas
Atlas › Integer Profiles › Node 97,567,720
97,567,720
23 × 5 × 1171 × 2083
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 1171 × 2083
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 219,820,320
Proper Divisor Sum 122,252,600
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #97567699 ← → #97567721

Radix Representation

Decimal 97567720
Binary 101110100001100001111101000 (27 bits)
Octal 0o564141750
Hexadecimal 0x5D0C3E8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 1,171 2,083 2,342 4,166 4,684 5,855 8,332 9,368 10,415 11,710 16,664 20,830 23,420 41,660 46,840 83,320 2,439,193 4,878,386 9,756,772 12,195,965 19,513,544 24,391,930 48,783,860 97,567,720

Collatz Trajectory (200 steps to reach 1)

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

97,567,720 48,783,860 24,391,930 12,195,965 36,587,896 18,293,948 9,146,974 4,573,487 13,720,462 6,860,231 20,580,694 10,290,347 30,871,042 15,435,521 46,306,564 23,153,282 11,576,641 34,729,924 17,364,962 8,682,481 26,047,444 13,023,722 6,511,861 19,535,584 9,767,792 4,883,896 2,441,948 1,220,974 610,487 1,831,462 915,731 2,747,194 1,373,597 4,120,792 2,060,396 1,030,198 515,099 1,545,298 772,649 2,317,948 1,158,974 579,487 1,738,462 869,231 2,607,694 1,303,847 3,911,542 1,955,771 5,867,314 2,933,657 8,800,972 4,400,486 2,200,243 6,600,730 3,300,365 9,901,096 4,950,548 2,475,274 1,237,637 3,712,912

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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