λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,007,148
72,007,148
22 × 83 × 107 × 2027
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 83 × 107 × 2027
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 128,786,112
Proper Divisor Sum 56,778,964
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #72007147 ← → #72007151

Radix Representation

Decimal 72007148
Binary 100010010101011110111101100 (27 bits)
Octal 0o422536754
Hexadecimal 0x44ABDEC

Divisor Catalog (24)

1 2 4 83 107 166 214 332 428 2,027 4,054 8,108 8,881 17,762 35,524 168,241 216,889 336,482 433,778 672,964 867,556 18,001,787 36,003,574 72,007,148

Collatz Trajectory (140 steps to reach 1)

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

72,007,148 36,003,574 18,001,787 54,005,362 27,002,681 81,008,044 40,504,022 20,252,011 60,756,034 30,378,017 91,134,052 45,567,026 22,783,513 68,350,540 34,175,270 17,087,635 51,262,906 25,631,453 76,894,360 38,447,180 19,223,590 9,611,795 28,835,386 14,417,693 43,253,080 21,626,540 10,813,270 5,406,635 16,219,906 8,109,953 24,329,860 12,164,930 6,082,465 18,247,396 9,123,698 4,561,849 13,685,548 6,842,774 3,421,387 10,264,162 5,132,081 15,396,244 7,698,122 3,849,061 11,547,184 5,773,592 2,886,796 1,443,398 721,699 2,165,098 1,082,549 3,247,648 1,623,824 811,912 405,956 202,978 101,489 304,468 152,234 76,117

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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