7,882,679

7² × 17 × 9463

7,882,679 factors as 7^2 × 17 × 9463. Its 12 positive divisors give a proper-divisor sum of 1,827,385, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 7^2 × 17 × 9463

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,710,064

Proper Divisor Sum 1,827,385

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #7882673 ← → #7882681

Radix Representation

Decimal	7882679
Binary	11110000100011110110111 (23 bits)
Octal	0o36043667
Hexadecimal	0x7847B7

Divisor Catalog (12)

1 7 17 49 119 833 9,463 66,241 160,871 463,687 1,126,097 7,882,679

Collatz Trajectory (67 steps to reach 1)

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

7,882,679 23,648,038 11,824,019 35,472,058 17,736,029 53,208,088 26,604,044 13,302,022 6,651,011 19,953,034 9,976,517 29,929,552 14,964,776 7,482,388 3,741,194 1,870,597 5,611,792 2,805,896 1,402,948 701,474 350,737 1,052,212 526,106 263,053 789,160 394,580 197,290 98,645 295,936 147,968 73,984 36,992 18,496 9,248 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40

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