λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,007,735
8,007,735
3 × 5 × 71 × 73 × 103
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 71 × 73 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,298,688
Proper Divisor Sum 5,290,953
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8007733 ← → #8007743

Radix Representation

Decimal 8007735
Binary 11110100011000000110111 (23 bits)
Octal 0o36430067
Hexadecimal 0x7A3037

Divisor Catalog (32)

1 3 5 15 71 73 103 213 219 309 355 365 515 1,065 1,095 1,545 5,183 7,313 7,519 15,549 21,939 22,557 25,915 36,565 37,595 77,745 109,695 112,785 533,849 1,601,547 2,669,245 8,007,735

Collatz Trajectory (168 steps to reach 1)

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

8,007,735 24,023,206 12,011,603 36,034,810 18,017,405 54,052,216 27,026,108 13,513,054 6,756,527 20,269,582 10,134,791 30,404,374 15,202,187 45,606,562 22,803,281 68,409,844 34,204,922 17,102,461 51,307,384 25,653,692 12,826,846 6,413,423 19,240,270 9,620,135 28,860,406 14,430,203 43,290,610 21,645,305 64,935,916 32,467,958 16,233,979 48,701,938 24,350,969 73,052,908 36,526,454 18,263,227 54,789,682 27,394,841 82,184,524 41,092,262 20,546,131 61,638,394 30,819,197 92,457,592 46,228,796 23,114,398 11,557,199 34,671,598 17,335,799 52,007,398 26,003,699 78,011,098 39,005,549 117,016,648 58,508,324 29,254,162 14,627,081 43,881,244 21,940,622 10,970,311

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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