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Atlas › Integer Profiles › Node 7,982,877

7,982,877

3 × 7 × 17 × 59 × 379
Deficient Odd Composite

7,982,877 factors as 3 × 7 × 17 × 59 × 379. Its 32 positive divisors give a proper-divisor sum of 5,149,923, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 59 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,132,800
Proper Divisor Sum 5,149,923
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #7982867 ← → #7982879

Radix Representation

Decimal 7982877
Binary 11110011100111100011101 (23 bits)
Octal 0o36347435
Hexadecimal 0x79CF1D

Divisor Catalog (32)

1 3 7 17 21 51 59 119 177 357 379 413 1,003 1,137 1,239 2,653 3,009 6,443 7,021 7,959 19,329 21,063 22,361 45,101 67,083 135,303 156,527 380,137 469,581 1,140,411 2,660,959 7,982,877

Collatz Trajectory (217 steps to reach 1)

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

7,982,877 23,948,632 11,974,316 5,987,158 2,993,579 8,980,738 4,490,369 13,471,108 6,735,554 3,367,777 10,103,332 5,051,666 2,525,833 7,577,500 3,788,750 1,894,375 5,683,126 2,841,563 8,524,690 4,262,345 12,787,036 6,393,518 3,196,759 9,590,278 4,795,139 14,385,418 7,192,709 21,578,128 10,789,064 5,394,532 2,697,266 1,348,633 4,045,900 2,022,950 1,011,475 3,034,426 1,517,213 4,551,640 2,275,820 1,137,910 568,955 1,706,866 853,433 2,560,300 1,280,150 640,075 1,920,226 960,113 2,880,340 1,440,170 720,085 2,160,256 1,080,128 540,064 270,032 135,016 67,508 33,754 16,877 50,632

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