6,992,583

3 × 13 × 193 × 929

6,992,583 factors as 3 × 13 × 193 × 929. Its 16 positive divisors give a proper-divisor sum of 3,110,937, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 3 × 13 × 193 × 929

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,103,520

Proper Divisor Sum 3,110,937

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6992581 ← → #6992599

Radix Representation

Decimal	6992583
Binary	11010101011001011000111 (23 bits)
Octal	0o32531307
Hexadecimal	0x6AB2C7

Divisor Catalog (16)

1 3 13 39 193 579 929 2,509 2,787 7,527 12,077 36,231 179,297 537,891 2,330,861 6,992,583

Collatz Trajectory (85 steps to reach 1)

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

6,992,583 20,977,750 10,488,875 31,466,626 15,733,313 47,199,940 23,599,970 11,799,985 35,399,956 17,699,978 8,849,989 26,549,968 13,274,984 6,637,492 3,318,746 1,659,373 4,978,120 2,489,060 1,244,530 622,265 1,866,796 933,398 466,699 1,400,098 700,049 2,100,148 1,050,074 525,037 1,575,112 787,556 393,778 196,889 590,668 295,334 147,667 443,002 221,501 664,504 332,252 166,126 83,063 249,190 124,595 373,786 186,893 560,680 280,340 140,170 70,085 210,256 105,128 52,564 26,282 13,141 39,424 19,712 9,856 4,928 2,464 1,232

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