7,002,672

2⁴ × 3 × 23 × 6343

7,002,672 has the prime decomposition 2^4 × 3 × 23 × 6343. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 23 × 6343

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 18,879,744

Proper Divisor Sum 11,877,072

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7002641 ← → #7002673

Radix Representation

Decimal	7002672
Binary	11010101101101000110000 (23 bits)
Octal	0o32555060
Hexadecimal	0x6ADA30

Divisor Catalog (40)

1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1,104 6,343 12,686 19,029 25,372 38,058 50,744 76,116 101,488 145,889 152,232 291,778 304,464 437,667 583,556 875,334 1,167,112 1,750,668 2,334,224 3,501,336 7,002,672

Collatz Trajectory (253 steps to reach 1)

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

7,002,672 3,501,336 1,750,668 875,334 437,667 1,313,002 656,501 1,969,504 984,752 492,376 246,188 123,094 61,547 184,642 92,321 276,964 138,482 69,241 207,724 103,862 51,931 155,794 77,897 233,692 116,846 58,423 175,270 87,635 262,906 131,453 394,360 197,180 98,590 49,295 147,886 73,943 221,830 110,915 332,746 166,373 499,120 249,560 124,780 62,390 31,195 93,586 46,793 140,380 70,190 35,095 105,286 52,643 157,930 78,965 236,896 118,448 59,224 29,612 14,806 7,403

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