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Ratio Atlas
Atlas › Integer Profiles › Node 10,071,207
10,071,207
32 × 29 × 47 × 821
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 29 × 47 × 821
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,387,840
Proper Divisor Sum 5,316,633
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #10071203 ← → #10071209

Radix Representation

Decimal 10071207
Binary 100110011010110010100111 (24 bits)
Octal 0o46326247
Hexadecimal 0x99ACA7

Divisor Catalog (24)

1 3 9 29 47 87 141 261 423 821 1,363 2,463 4,089 7,389 12,267 23,809 38,587 71,427 115,761 214,281 347,283 1,119,023 3,357,069 10,071,207

Collatz Trajectory (207 steps to reach 1)

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

10,071,207 30,213,622 15,106,811 45,320,434 22,660,217 67,980,652 33,990,326 16,995,163 50,985,490 25,492,745 76,478,236 38,239,118 19,119,559 57,358,678 28,679,339 86,038,018 43,019,009 129,057,028 64,528,514 32,264,257 96,792,772 48,396,386 24,198,193 72,594,580 36,297,290 18,148,645 54,445,936 27,222,968 13,611,484 6,805,742 3,402,871 10,208,614 5,104,307 15,312,922 7,656,461 22,969,384 11,484,692 5,742,346 2,871,173 8,613,520 4,306,760 2,153,380 1,076,690 538,345 1,615,036 807,518 403,759 1,211,278 605,639 1,816,918 908,459 2,725,378 1,362,689 4,088,068 2,044,034 1,022,017 3,066,052 1,533,026 766,513 2,299,540

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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