λ
Ratio Atlas
Atlas › Integer Profiles › Node 96,077,934
96,077,934
2 × 33 × 283 × 6287
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 283 × 6287
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 214,295,040
Proper Divisor Sum 118,217,106
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #96077929 ← → #96077951

Radix Representation

Decimal 96077934
Binary 101101110100000100001101110 (27 bits)
Octal 0o556404156
Hexadecimal 0x5BA086E

Divisor Catalog (32)

1 2 3 6 9 18 27 54 283 566 849 1,698 2,547 5,094 6,287 7,641 12,574 15,282 18,861 37,722 56,583 113,166 169,749 339,498 1,779,221 3,558,442 5,337,663 10,675,326 16,012,989 32,025,978 48,038,967 96,077,934

Collatz Trajectory (156 steps to reach 1)

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

96,077,934 48,038,967 144,116,902 72,058,451 216,175,354 108,087,677 324,263,032 162,131,516 81,065,758 40,532,879 121,598,638 60,799,319 182,397,958 91,198,979 273,596,938 136,798,469 410,395,408 205,197,704 102,598,852 51,299,426 25,649,713 76,949,140 38,474,570 19,237,285 57,711,856 28,855,928 14,427,964 7,213,982 3,606,991 10,820,974 5,410,487 16,231,462 8,115,731 24,347,194 12,173,597 36,520,792 18,260,396 9,130,198 4,565,099 13,695,298 6,847,649 20,542,948 10,271,474 5,135,737 15,407,212 7,703,606 3,851,803 11,555,410 5,777,705 17,333,116 8,666,558 4,333,279 12,999,838 6,499,919 19,499,758 9,749,879 29,249,638 14,624,819 43,874,458 21,937,229

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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