λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,320,007
51,320,007
33 × 19 × 71 × 1409
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 19 × 71 × 1409
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 81,216,000
Proper Divisor Sum 29,895,993
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #51319993 ← → #51320033

Radix Representation

Decimal 51320007
Binary 11000011110001010011000111 (26 bits)
Octal 0o303612307
Hexadecimal 0x30F14C7

Divisor Catalog (32)

1 3 9 19 27 57 71 171 213 513 639 1,349 1,409 1,917 4,047 4,227 12,141 12,681 26,771 36,423 38,043 80,313 100,039 240,939 300,117 722,817 900,351 1,900,741 2,701,053 5,702,223 17,106,669 51,320,007

Collatz Trajectory (181 steps to reach 1)

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

51,320,007 153,960,022 76,980,011 230,940,034 115,470,017 346,410,052 173,205,026 86,602,513 259,807,540 129,903,770 64,951,885 194,855,656 97,427,828 48,713,914 24,356,957 73,070,872 36,535,436 18,267,718 9,133,859 27,401,578 13,700,789 41,102,368 20,551,184 10,275,592 5,137,796 2,568,898 1,284,449 3,853,348 1,926,674 963,337 2,890,012 1,445,006 722,503 2,167,510 1,083,755 3,251,266 1,625,633 4,876,900 2,438,450 1,219,225 3,657,676 1,828,838 914,419 2,743,258 1,371,629 4,114,888 2,057,444 1,028,722 514,361 1,543,084 771,542 385,771 1,157,314 578,657 1,735,972 867,986 433,993 1,301,980 650,990 325,495

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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