6,742,631

7 × 109 × 8837

6,742,631 factors as 7 × 109 × 8837. Its 8 positive divisors give a proper-divisor sum of 1,034,809, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 7 × 109 × 8837

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,777,440

Proper Divisor Sum 1,034,809

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6742577 ← → #6742643

Radix Representation

Decimal	6742631
Binary	11001101110001001100111 (23 bits)
Octal	0o31561147
Hexadecimal	0x66E267

Divisor Catalog (8)

1 7 109 763 8,837 61,859 963,233 6,742,631

Collatz Trajectory (209 steps to reach 1)

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

6,742,631 20,227,894 10,113,947 30,341,842 15,170,921 45,512,764 22,756,382 11,378,191 34,134,574 17,067,287 51,201,862 25,600,931 76,802,794 38,401,397 115,204,192 57,602,096 28,801,048 14,400,524 7,200,262 3,600,131 10,800,394 5,400,197 16,200,592 8,100,296 4,050,148 2,025,074 1,012,537 3,037,612 1,518,806 759,403 2,278,210 1,139,105 3,417,316 1,708,658 854,329 2,562,988 1,281,494 640,747 1,922,242 961,121 2,883,364 1,441,682 720,841 2,162,524 1,081,262 540,631 1,621,894 810,947 2,432,842 1,216,421 3,649,264 1,824,632 912,316 456,158 228,079 684,238 342,119 1,026,358 513,179 1,539,538

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