Integer 4,004,005 Profile | Ratio Atlas

4,004,005

5 × 800801

Prime Factor Structure

Factorization String 5 × 800801

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,804,812

Proper Divisor Sum 800,807

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #4003999 ← → #4004009

Radix Representation

Decimal	4004005
Binary	1111010001100010100101 (22 bits)
Octal	0o17214245
Hexadecimal	0x3D18A5

Divisor Catalog (4)

1 5 800,801 4,004,005

Collatz Trajectory (247 steps to reach 1)

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

4,004,005 12,012,016 6,006,008 3,003,004 1,501,502 750,751 2,252,254 1,126,127 3,378,382 1,689,191 5,067,574 2,533,787 7,601,362 3,800,681 11,402,044 5,701,022 2,850,511 8,551,534 4,275,767 12,827,302 6,413,651 19,240,954 9,620,477 28,861,432 14,430,716 7,215,358 3,607,679 10,823,038 5,411,519 16,234,558 8,117,279 24,351,838 12,175,919 36,527,758 18,263,879 54,791,638 27,395,819 82,187,458 41,093,729 123,281,188 61,640,594 30,820,297 92,460,892 46,230,446 23,115,223 69,345,670 34,672,835 104,018,506 52,009,253 156,027,760 78,013,880 39,006,940 19,503,470 9,751,735 29,255,206 14,627,603 43,882,810 21,941,405 65,824,216 32,912,108

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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