λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,728,199
9,728,199
32 × 13 × 17 × 67 × 73
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 13 × 17 × 67 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,484,832
Proper Divisor Sum 6,756,633
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9728197 ← → #9728231

Radix Representation

Decimal 9728199
Binary 100101000111000011000111 (24 bits)
Octal 0o45070307
Hexadecimal 0x9470C7

Divisor Catalog (48)

1 3 9 13 17 39 51 67 73 117 153 201 219 221 603 657 663 871 949 1,139 1,241 1,989 2,613 2,847 3,417 3,723 4,891 7,839 8,541 10,251 11,169 14,673 14,807 16,133 44,019 44,421 48,399 63,583 83,147 133,263 145,197 190,749 249,441 572,247 748,323 1,080,911 3,242,733 9,728,199

Collatz Trajectory (225 steps to reach 1)

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

9,728,199 29,184,598 14,592,299 43,776,898 21,888,449 65,665,348 32,832,674 16,416,337 49,249,012 24,624,506 12,312,253 36,936,760 18,468,380 9,234,190 4,617,095 13,851,286 6,925,643 20,776,930 10,388,465 31,165,396 15,582,698 7,791,349 23,374,048 11,687,024 5,843,512 2,921,756 1,460,878 730,439 2,191,318 1,095,659 3,286,978 1,643,489 4,930,468 2,465,234 1,232,617 3,697,852 1,848,926 924,463 2,773,390 1,386,695 4,160,086 2,080,043 6,240,130 3,120,065 9,360,196 4,680,098 2,340,049 7,020,148 3,510,074 1,755,037 5,265,112 2,632,556 1,316,278 658,139 1,974,418 987,209 2,961,628 1,480,814 740,407 2,221,222

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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