λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,072,700
10,072,700
22 × 52 × 11 × 9157
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 11 × 9157
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 23,847,432
Proper Divisor Sum 13,774,732
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #10072693 ← → #10072709

Radix Representation

Decimal 10072700
Binary 100110011011001001111100 (24 bits)
Octal 0o46331174
Hexadecimal 0x99B27C

Divisor Catalog (36)

1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1,100 9,157 18,314 36,628 45,785 91,570 100,727 183,140 201,454 228,925 402,908 457,850 503,635 915,700 1,007,270 2,014,540 2,518,175 5,036,350 10,072,700

Collatz Trajectory (251 steps to reach 1)

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

10,072,700 5,036,350 2,518,175 7,554,526 3,777,263 11,331,790 5,665,895 16,997,686 8,498,843 25,496,530 12,748,265 38,244,796 19,122,398 9,561,199 28,683,598 14,341,799 43,025,398 21,512,699 64,538,098 32,269,049 96,807,148 48,403,574 24,201,787 72,605,362 36,302,681 108,908,044 54,454,022 27,227,011 81,681,034 40,840,517 122,521,552 61,260,776 30,630,388 15,315,194 7,657,597 22,972,792 11,486,396 5,743,198 2,871,599 8,614,798 4,307,399 12,922,198 6,461,099 19,383,298 9,691,649 29,074,948 14,537,474 7,268,737 21,806,212 10,903,106 5,451,553 16,354,660 8,177,330 4,088,665 12,265,996 6,132,998 3,066,499 9,199,498 4,599,749 13,799,248

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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