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Atlas › Integer Profiles › Node 7,307,004

7,307,004

22 × 3 × 53 × 11489
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 53 × 11489
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,372,880
Proper Divisor Sum 10,065,876
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7306993 ← → #7307009

Radix Representation

Decimal 7307004
Binary 11011110111111011111100 (23 bits)
Octal 0o33677374
Hexadecimal 0x6F7EFC

Divisor Catalog (24)

1 2 3 4 6 12 53 106 159 212 318 636 11,489 22,978 34,467 45,956 68,934 137,868 608,917 1,217,834 1,826,751 2,435,668 3,653,502 7,307,004

Collatz Trajectory (248 steps to reach 1)

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

7,307,004 3,653,502 1,826,751 5,480,254 2,740,127 8,220,382 4,110,191 12,330,574 6,165,287 18,495,862 9,247,931 27,743,794 13,871,897 41,615,692 20,807,846 10,403,923 31,211,770 15,605,885 46,817,656 23,408,828 11,704,414 5,852,207 17,556,622 8,778,311 26,334,934 13,167,467 39,502,402 19,751,201 59,253,604 29,626,802 14,813,401 44,440,204 22,220,102 11,110,051 33,330,154 16,665,077 49,995,232 24,997,616 12,498,808 6,249,404 3,124,702 1,562,351 4,687,054 2,343,527 7,030,582 3,515,291 10,545,874 5,272,937 15,818,812 7,909,406 3,954,703 11,864,110 5,932,055 17,796,166 8,898,083 26,694,250 13,347,125 40,041,376 20,020,688 10,010,344

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