λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,775,752
9,775,752
23 × 3 × 7 × 58189
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 58189
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,931,200
Proper Divisor Sum 18,155,448
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9775751 ← → #9775763

Radix Representation

Decimal 9775752
Binary 100101010010101010001000 (24 bits)
Octal 0o45225210
Hexadecimal 0x952A88

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 58,189 116,378 174,567 232,756 349,134 407,323 465,512 698,268 814,646 1,221,969 1,396,536 1,629,292 2,443,938 3,258,584 4,887,876 9,775,752

Collatz Trajectory (176 steps to reach 1)

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

9,775,752 4,887,876 2,443,938 1,221,969 3,665,908 1,832,954 916,477 2,749,432 1,374,716 687,358 343,679 1,031,038 515,519 1,546,558 773,279 2,319,838 1,159,919 3,479,758 1,739,879 5,219,638 2,609,819 7,829,458 3,914,729 11,744,188 5,872,094 2,936,047 8,808,142 4,404,071 13,212,214 6,606,107 19,818,322 9,909,161 29,727,484 14,863,742 7,431,871 22,295,614 11,147,807 33,443,422 16,721,711 50,165,134 25,082,567 75,247,702 37,623,851 112,871,554 56,435,777 169,307,332 84,653,666 42,326,833 126,980,500 63,490,250 31,745,125 95,235,376 47,617,688 23,808,844 11,904,422 5,952,211 17,856,634 8,928,317 26,784,952 13,392,476

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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