4,004,004

2² × 3 × 333667

Prime Factor Structure

Factorization String 2^2 × 3 × 333667

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,342,704

Proper Divisor Sum 5,338,700

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #4003999 ← → #4004009

Radix Representation

Decimal	4004004
Binary	1111010001100010100100 (22 bits)
Octal	0o17214244
Hexadecimal	0x3D18A4

Divisor Catalog (12)

1 2 3 4 6 12 333,667 667,334 1,001,001 1,334,668 2,002,002 4,004,004

Collatz Trajectory (247 steps to reach 1)

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

4,004,004 2,002,002 1,001,001 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

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