λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,301,985
9,301,985
5 × 7 × 11 × 37 × 653
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 11 × 37 × 653
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,314,752
Proper Divisor Sum 5,012,767
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9301973 ← → #9301987

Radix Representation

Decimal 9301985
Binary 100011011110111111100001 (24 bits)
Octal 0o43367741
Hexadecimal 0x8DEFE1

Divisor Catalog (32)

1 5 7 11 35 37 55 77 185 259 385 407 653 1,295 2,035 2,849 3,265 4,571 7,183 14,245 22,855 24,161 35,915 50,281 120,805 169,127 251,405 265,771 845,635 1,328,855 1,860,397 9,301,985

Collatz Trajectory (437 steps to reach 1)

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

9,301,985 27,905,956 13,952,978 6,976,489 20,929,468 10,464,734 5,232,367 15,697,102 7,848,551 23,545,654 11,772,827 35,318,482 17,659,241 52,977,724 26,488,862 13,244,431 39,733,294 19,866,647 59,599,942 29,799,971 89,399,914 44,699,957 134,099,872 67,049,936 33,524,968 16,762,484 8,381,242 4,190,621 12,571,864 6,285,932 3,142,966 1,571,483 4,714,450 2,357,225 7,071,676 3,535,838 1,767,919 5,303,758 2,651,879 7,955,638 3,977,819 11,933,458 5,966,729 17,900,188 8,950,094 4,475,047 13,425,142 6,712,571 20,137,714 10,068,857 30,206,572 15,103,286 7,551,643 22,654,930 11,327,465 33,982,396 16,991,198 8,495,599 25,486,798 12,743,399

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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