λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,733,503
9,733,503
3 × 13 × 17 × 53 × 277
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13 × 17 × 53 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,132,096
Proper Divisor Sum 5,398,593
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9733501 ← → #9733513

Radix Representation

Decimal 9733503
Binary 100101001000010101111111 (24 bits)
Octal 0o45102577
Hexadecimal 0x94857F

Divisor Catalog (32)

1 3 13 17 39 51 53 159 221 277 663 689 831 901 2,067 2,703 3,601 4,709 10,803 11,713 14,127 14,681 35,139 44,043 61,217 183,651 190,853 249,577 572,559 748,731 3,244,501 9,733,503

Collatz Trajectory (282 steps to reach 1)

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

9,733,503 29,200,510 14,600,255 43,800,766 21,900,383 65,701,150 32,850,575 98,551,726 49,275,863 147,827,590 73,913,795 221,741,386 110,870,693 332,612,080 166,306,040 83,153,020 41,576,510 20,788,255 62,364,766 31,182,383 93,547,150 46,773,575 140,320,726 70,160,363 210,481,090 105,240,545 315,721,636 157,860,818 78,930,409 236,791,228 118,395,614 59,197,807 177,593,422 88,796,711 266,390,134 133,195,067 399,585,202 199,792,601 599,377,804 299,688,902 149,844,451 449,533,354 224,766,677 674,300,032 337,150,016 168,575,008 84,287,504 42,143,752 21,071,876 10,535,938 5,267,969 15,803,908 7,901,954 3,950,977 11,852,932 5,926,466 2,963,233 8,889,700 4,444,850 2,222,425

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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