λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,000,795
10,000,795
5 × 7 × 29 × 59 × 167
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 29 × 59 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,515,200
Proper Divisor Sum 4,514,405
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #10000789 ← → #10000799

Radix Representation

Decimal 10000795
Binary 100110001001100110011011 (24 bits)
Octal 0o46114633
Hexadecimal 0x98999B

Divisor Catalog (32)

1 5 7 29 35 59 145 167 203 295 413 835 1,015 1,169 1,711 2,065 4,843 5,845 8,555 9,853 11,977 24,215 33,901 49,265 59,885 68,971 169,505 285,737 344,855 1,428,685 2,000,159 10,000,795

Collatz Trajectory (225 steps to reach 1)

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

10,000,795 30,002,386 15,001,193 45,003,580 22,501,790 11,250,895 33,752,686 16,876,343 50,629,030 25,314,515 75,943,546 37,971,773 113,915,320 56,957,660 28,478,830 14,239,415 42,718,246 21,359,123 64,077,370 32,038,685 96,116,056 48,058,028 24,029,014 12,014,507 36,043,522 18,021,761 54,065,284 27,032,642 13,516,321 40,548,964 20,274,482 10,137,241 30,411,724 15,205,862 7,602,931 22,808,794 11,404,397 34,213,192 17,106,596 8,553,298 4,276,649 12,829,948 6,414,974 3,207,487 9,622,462 4,811,231 14,433,694 7,216,847 21,650,542 10,825,271 32,475,814 16,237,907 48,713,722 24,356,861 73,070,584 36,535,292 18,267,646 9,133,823 27,401,470 13,700,735

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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