λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,098,231
4,098,231
32 × 31 × 37 × 397
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 31 × 37 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,291,584
Proper Divisor Sum 2,193,353
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4098229 ← → #4098233

Radix Representation

Decimal 4098231
Binary 1111101000100010110111 (22 bits)
Octal 0o17504267
Hexadecimal 0x3E88B7

Divisor Catalog (24)

1 3 9 31 37 93 111 279 333 397 1,147 1,191 3,441 3,573 10,323 12,307 14,689 36,921 44,067 110,763 132,201 455,359 1,366,077 4,098,231

Collatz Trajectory (216 steps to reach 1)

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

4,098,231 12,294,694 6,147,347 18,442,042 9,221,021 27,663,064 13,831,532 6,915,766 3,457,883 10,373,650 5,186,825 15,560,476 7,780,238 3,890,119 11,670,358 5,835,179 17,505,538 8,752,769 26,258,308 13,129,154 6,564,577 19,693,732 9,846,866 4,923,433 14,770,300 7,385,150 3,692,575 11,077,726 5,538,863 16,616,590 8,308,295 24,924,886 12,462,443 37,387,330 18,693,665 56,080,996 28,040,498 14,020,249 42,060,748 21,030,374 10,515,187 31,545,562 15,772,781 47,318,344 23,659,172 11,829,586 5,914,793 17,744,380 8,872,190 4,436,095 13,308,286 6,654,143 19,962,430 9,981,215 29,943,646 14,971,823 44,915,470 22,457,735 67,373,206 33,686,603

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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