7,982,273

13 × 163 × 3767

7,982,273 factors as 13 × 163 × 3767. Its 8 positive divisors give a proper-divisor sum of 669,055, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 13 × 163 × 3767

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,651,328

Proper Divisor Sum 669,055

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7982267 ← → #7982297

Radix Representation

Decimal	7982273
Binary	11110011100110011000001 (23 bits)
Octal	0o36346301
Hexadecimal	0x79CCC1

Divisor Catalog (8)

1 13 163 2,119 3,767 48,971 614,021 7,982,273

Collatz Trajectory (168 steps to reach 1)

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

7,982,273 23,946,820 11,973,410 5,986,705 17,960,116 8,980,058 4,490,029 13,470,088 6,735,044 3,367,522 1,683,761 5,051,284 2,525,642 1,262,821 3,788,464 1,894,232 947,116 473,558 236,779 710,338 355,169 1,065,508 532,754 266,377 799,132 399,566 199,783 599,350 299,675 899,026 449,513 1,348,540 674,270 337,135 1,011,406 505,703 1,517,110 758,555 2,275,666 1,137,833 3,413,500 1,706,750 853,375 2,560,126 1,280,063 3,840,190 1,920,095 5,760,286 2,880,143 8,640,430 4,320,215 12,960,646 6,480,323 19,440,970 9,720,485 29,161,456 14,580,728 7,290,364 3,645,182 1,822,591

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