Integer 4,004,007 Profile | Ratio Atlas

4,004,007

3 × 7 × 190667

Prime Factor Structure

Factorization String 3 × 7 × 190667

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,101,376

Proper Divisor Sum 2,097,369

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #4003999 ← → #4004009

Radix Representation

Decimal	4004007
Binary	1111010001100010100111 (22 bits)
Octal	0o17214247
Hexadecimal	0x3D18A7

Divisor Catalog (8)

1 3 7 21 190,667 572,001 1,334,669 4,004,007

Collatz Trajectory (260 steps to reach 1)

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

4,004,007 12,012,022 6,006,011 18,018,034 9,009,017 27,027,052 13,513,526 6,756,763 20,270,290 10,135,145 30,405,436 15,202,718 7,601,359 22,804,078 11,402,039 34,206,118 17,103,059 51,309,178 25,654,589 76,963,768 38,481,884 19,240,942 9,620,471 28,861,414 14,430,707 43,292,122 21,646,061 64,938,184 32,469,092 16,234,546 8,117,273 24,351,820 12,175,910 6,087,955 18,263,866 9,131,933 27,395,800 13,697,900 6,848,950 3,424,475 10,273,426 5,136,713 15,410,140 7,705,070 3,852,535 11,557,606 5,778,803 17,336,410 8,668,205 26,004,616 13,002,308 6,501,154 3,250,577 9,751,732 4,875,866 2,437,933 7,313,800 3,656,900 1,828,450 914,225

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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