λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,382,001
4,382,001
32 × 132 × 43 × 67
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 13^2 × 43 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,117,968
Proper Divisor Sum 2,735,967
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4381999 ← → #4382003

Radix Representation

Decimal 4382001
Binary 10000101101110100110001 (23 bits)
Octal 0o20556461
Hexadecimal 0x42DD31

Divisor Catalog (36)

1 3 9 13 39 43 67 117 129 169 201 387 507 559 603 871 1,521 1,677 2,613 2,881 5,031 7,267 7,839 8,643 11,323 21,801 25,929 33,969 37,453 65,403 101,907 112,359 337,077 486,889 1,460,667 4,382,001

Collatz Trajectory (198 steps to reach 1)

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

4,382,001 13,146,004 6,573,002 3,286,501 9,859,504 4,929,752 2,464,876 1,232,438 616,219 1,848,658 924,329 2,772,988 1,386,494 693,247 2,079,742 1,039,871 3,119,614 1,559,807 4,679,422 2,339,711 7,019,134 3,509,567 10,528,702 5,264,351 15,793,054 7,896,527 23,689,582 11,844,791 35,534,374 17,767,187 53,301,562 26,650,781 79,952,344 39,976,172 19,988,086 9,994,043 29,982,130 14,991,065 44,973,196 22,486,598 11,243,299 33,729,898 16,864,949 50,594,848 25,297,424 12,648,712 6,324,356 3,162,178 1,581,089 4,743,268 2,371,634 1,185,817 3,557,452 1,778,726 889,363 2,668,090 1,334,045 4,002,136 2,001,068 1,000,534

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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