λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,216,615
9,216,615
3 × 5 × 19 × 73 × 443
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 19 × 73 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,770,880
Proper Divisor Sum 6,554,265
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9216611 ← → #9216631

Radix Representation

Decimal 9216615
Binary 100011001010001001100111 (24 bits)
Octal 0o43121147
Hexadecimal 0x8CA267

Divisor Catalog (32)

1 3 5 15 19 57 73 95 219 285 365 443 1,095 1,329 1,387 2,215 4,161 6,645 6,935 8,417 20,805 25,251 32,339 42,085 97,017 126,255 161,695 485,085 614,441 1,843,323 3,072,205 9,216,615

Collatz Trajectory (225 steps to reach 1)

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

9,216,615 27,649,846 13,824,923 41,474,770 20,737,385 62,212,156 31,106,078 15,553,039 46,659,118 23,329,559 69,988,678 34,994,339 104,983,018 52,491,509 157,474,528 78,737,264 39,368,632 19,684,316 9,842,158 4,921,079 14,763,238 7,381,619 22,144,858 11,072,429 33,217,288 16,608,644 8,304,322 4,152,161 12,456,484 6,228,242 3,114,121 9,342,364 4,671,182 2,335,591 7,006,774 3,503,387 10,510,162 5,255,081 15,765,244 7,882,622 3,941,311 11,823,934 5,911,967 17,735,902 8,867,951 26,603,854 13,301,927 39,905,782 19,952,891 59,858,674 29,929,337 89,788,012 44,894,006 22,447,003 67,341,010 33,670,505 101,011,516 50,505,758 25,252,879 75,758,638

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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