λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,293,129
10,293,129
33 × 7 × 11 × 4951
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7 × 11 × 4951
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,015,680
Proper Divisor Sum 8,722,551
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10293119 ← → #10293133

Radix Representation

Decimal 10293129
Binary 100111010000111110001001 (24 bits)
Octal 0o47207611
Hexadecimal 0x9D0F89

Divisor Catalog (32)

1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2,079 4,951 14,853 34,657 44,559 54,461 103,971 133,677 163,383 311,913 381,227 490,149 935,739 1,143,681 1,470,447 3,431,043 10,293,129

Collatz Trajectory (189 steps to reach 1)

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

10,293,129 30,879,388 15,439,694 7,719,847 23,159,542 11,579,771 34,739,314 17,369,657 52,108,972 26,054,486 13,027,243 39,081,730 19,540,865 58,622,596 29,311,298 14,655,649 43,966,948 21,983,474 10,991,737 32,975,212 16,487,606 8,243,803 24,731,410 12,365,705 37,097,116 18,548,558 9,274,279 27,822,838 13,911,419 41,734,258 20,867,129 62,601,388 31,300,694 15,650,347 46,951,042 23,475,521 70,426,564 35,213,282 17,606,641 52,819,924 26,409,962 13,204,981 39,614,944 19,807,472 9,903,736 4,951,868 2,475,934 1,237,967 3,713,902 1,856,951 5,570,854 2,785,427 8,356,282 4,178,141 12,534,424 6,267,212 3,133,606 1,566,803 4,700,410 2,350,205

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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