Integer 10,009,331 Profile | Ratio Atlas

10,009,331

67 × 149393

Prime Factor Structure

Factorization String 67 × 149393

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,158,792

Proper Divisor Sum 149,461

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #10009327 ← → #10009339

Radix Representation

Decimal	10009331
Binary	100110001011101011110011 (24 bits)
Octal	0o46135363
Hexadecimal	0x98BAF3

Divisor Catalog (4)

1 67 149,393 10,009,331

Collatz Trajectory (137 steps to reach 1)

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

10,009,331 30,027,994 15,013,997 45,041,992 22,520,996 11,260,498 5,630,249 16,890,748 8,445,374 4,222,687 12,668,062 6,334,031 19,002,094 9,501,047 28,503,142 14,251,571 42,754,714 21,377,357 64,132,072 32,066,036 16,033,018 8,016,509 24,049,528 12,024,764 6,012,382 3,006,191 9,018,574 4,509,287 13,527,862 6,763,931 20,291,794 10,145,897 30,437,692 15,218,846 7,609,423 22,828,270 11,414,135 34,242,406 17,121,203 51,363,610 25,681,805 77,045,416 38,522,708 19,261,354 9,630,677 28,892,032 14,446,016 7,223,008 3,611,504 1,805,752 902,876 451,438 225,719 677,158 338,579 1,015,738 507,869 1,523,608 761,804 380,902

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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