7,122,003

3 × 7² × 48449

Prime Factor Structure

Factorization String 3 × 7^2 × 48449

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,046,600

Proper Divisor Sum 3,924,597

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #7122001 ← → #7122007

Radix Representation

Decimal	7122003
Binary	11011001010110001010011 (23 bits)
Octal	0o33126123
Hexadecimal	0x6CAC53

Divisor Catalog (12)

1 3 7 21 49 147 48,449 145,347 339,143 1,017,429 2,374,001 7,122,003

Collatz Trajectory (279 steps to reach 1)

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

7,122,003 21,366,010 10,683,005 32,049,016 16,024,508 8,012,254 4,006,127 12,018,382 6,009,191 18,027,574 9,013,787 27,041,362 13,520,681 40,562,044 20,281,022 10,140,511 30,421,534 15,210,767 45,632,302 22,816,151 68,448,454 34,224,227 102,672,682 51,336,341 154,009,024 77,004,512 38,502,256 19,251,128 9,625,564 4,812,782 2,406,391 7,219,174 3,609,587 10,828,762 5,414,381 16,243,144 8,121,572 4,060,786 2,030,393 6,091,180 3,045,590 1,522,795 4,568,386 2,284,193 6,852,580 3,426,290 1,713,145 5,139,436 2,569,718 1,284,859 3,854,578 1,927,289 5,781,868 2,890,934 1,445,467 4,336,402 2,168,201 6,504,604 3,252,302 1,626,151

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