λ
Ratio Atlas
Atlas › Integer Profiles › Node 30,009,345
30,009,345
3 × 5 × 29 × 149 × 463
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 29 × 149 × 463
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 50,112,000
Proper Divisor Sum 20,102,655
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #30009337 ← → #30009373

Radix Representation

Decimal 30009345
Binary 1110010011110100000000001 (25 bits)
Octal 0o162364001
Hexadecimal 0x1C9E801

Divisor Catalog (32)

1 3 5 15 29 87 145 149 435 447 463 745 1,389 2,235 2,315 4,321 6,945 12,963 13,427 21,605 40,281 64,815 67,135 68,987 201,405 206,961 344,935 1,034,805 2,000,623 6,001,869 10,003,115 30,009,345

Collatz Trajectory (188 steps to reach 1)

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

30,009,345 90,028,036 45,014,018 22,507,009 67,521,028 33,760,514 16,880,257 50,640,772 25,320,386 12,660,193 37,980,580 18,990,290 9,495,145 28,485,436 14,242,718 7,121,359 21,364,078 10,682,039 32,046,118 16,023,059 48,069,178 24,034,589 72,103,768 36,051,884 18,025,942 9,012,971 27,038,914 13,519,457 40,558,372 20,279,186 10,139,593 30,418,780 15,209,390 7,604,695 22,814,086 11,407,043 34,221,130 17,110,565 51,331,696 25,665,848 12,832,924 6,416,462 3,208,231 9,624,694 4,812,347 14,437,042 7,218,521 21,655,564 10,827,782 5,413,891 16,241,674 8,120,837 24,362,512 12,181,256 6,090,628 3,045,314 1,522,657 4,567,972 2,283,986 1,141,993

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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