λ
Ratio Atlas
Atlas › Integer Profiles › Node 727,007
727,007
23 × 73 × 433
Deficient Odd Composite

Prime Factor Structure

Factorization String 23 × 73 × 433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 770,784
Proper Divisor Sum 43,777
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #727003 ← → #727009

Radix Representation

Decimal 727007
Binary 10110001011111011111 (20 bits)
Octal 0o2613737
Hexadecimal 0xB17DF

Divisor Catalog (8)

1 23 73 433 1,679 9,959 31,609 727,007

Collatz Trajectory (242 steps to reach 1)

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

727,007 2,181,022 1,090,511 3,271,534 1,635,767 4,907,302 2,453,651 7,360,954 3,680,477 11,041,432 5,520,716 2,760,358 1,380,179 4,140,538 2,070,269 6,210,808 3,105,404 1,552,702 776,351 2,329,054 1,164,527 3,493,582 1,746,791 5,240,374 2,620,187 7,860,562 3,930,281 11,790,844 5,895,422 2,947,711 8,843,134 4,421,567 13,264,702 6,632,351 19,897,054 9,948,527 29,845,582 14,922,791 44,768,374 22,384,187 67,152,562 33,576,281 100,728,844 50,364,422 25,182,211 75,546,634 37,773,317 113,319,952 56,659,976 28,329,988 14,164,994 7,082,497 21,247,492 10,623,746 5,311,873 15,935,620 7,967,810 3,983,905 11,951,716 5,975,858

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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