λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,733,735
47,733,735
3 × 5 × 7 × 163 × 2789
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 163 × 2789
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 87,851,520
Proper Divisor Sum 40,117,785
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #47733731 ← → #47733743

Radix Representation

Decimal 47733735
Binary 10110110000101101111100111 (26 bits)
Octal 0o266055747
Hexadecimal 0x2D85BE7

Divisor Catalog (32)

1 3 5 7 15 21 35 105 163 489 815 1,141 2,445 2,789 3,423 5,705 8,367 13,945 17,115 19,523 41,835 58,569 97,615 292,845 454,607 1,363,821 2,273,035 3,182,249 6,819,105 9,546,747 15,911,245 47,733,735

Collatz Trajectory (124 steps to reach 1)

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

47,733,735 143,201,206 71,600,603 214,801,810 107,400,905 322,202,716 161,101,358 80,550,679 241,652,038 120,826,019 362,478,058 181,239,029 543,717,088 271,858,544 135,929,272 67,964,636 33,982,318 16,991,159 50,973,478 25,486,739 76,460,218 38,230,109 114,690,328 57,345,164 28,672,582 14,336,291 43,008,874 21,504,437 64,513,312 32,256,656 16,128,328 8,064,164 4,032,082 2,016,041 6,048,124 3,024,062 1,512,031 4,536,094 2,268,047 6,804,142 3,402,071 10,206,214 5,103,107 15,309,322 7,654,661 22,963,984 11,481,992 5,740,996 2,870,498 1,435,249 4,305,748 2,152,874 1,076,437 3,229,312 1,614,656 807,328 403,664 201,832 100,916 50,458

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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