λ
Ratio Atlas
Atlas › Integer Profiles › Node 59,629,647
59,629,647
3 × 7 × 112 × 31 × 757
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11^2 × 31 × 757
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 103,233,536
Proper Divisor Sum 43,603,889
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #59629637 ← → #59629663

Radix Representation

Decimal 59629647
Binary 11100011011110000001001111 (26 bits)
Octal 0o343360117
Hexadecimal 0x38DE04F

Divisor Catalog (48)

1 3 7 11 21 31 33 77 93 121 217 231 341 363 651 757 847 1,023 2,271 2,387 2,541 3,751 5,299 7,161 8,327 11,253 15,897 23,467 24,981 26,257 58,289 70,401 78,771 91,597 164,269 174,867 258,137 274,791 492,807 641,179 774,411 1,806,959 1,923,537 2,839,507 5,420,877 8,518,521 19,876,549 59,629,647

Collatz Trajectory (189 steps to reach 1)

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

59,629,647 178,888,942 89,444,471 268,333,414 134,166,707 402,500,122 201,250,061 603,750,184 301,875,092 150,937,546 75,468,773 226,406,320 113,203,160 56,601,580 28,300,790 14,150,395 42,451,186 21,225,593 63,676,780 31,838,390 15,919,195 47,757,586 23,878,793 71,636,380 35,818,190 17,909,095 53,727,286 26,863,643 80,590,930 40,295,465 120,886,396 60,443,198 30,221,599 90,664,798 45,332,399 135,997,198 67,998,599 203,995,798 101,997,899 305,993,698 152,996,849 458,990,548 229,495,274 114,747,637 344,242,912 172,121,456 86,060,728 43,030,364 21,515,182 10,757,591 32,272,774 16,136,387 48,409,162 24,204,581 72,613,744 36,306,872 18,153,436 9,076,718 4,538,359 13,615,078

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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