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Atlas › Integer Profiles › Node 7,690,312

7,690,312

23 × 7 × 89 × 1543
Abundant Even Composite

7,690,312 factors as 2^3 × 7 × 89 × 1543. Its 32 positive divisors give a proper-divisor sum of 8,984,888, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 89 × 1543
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,675,200
Proper Divisor Sum 8,984,888
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7690301 ← → #7690313

Radix Representation

Decimal 7690312
Binary 11101010101100001001000 (23 bits)
Octal 0o35254110
Hexadecimal 0x755848

Divisor Catalog (32)

1 2 4 7 8 14 28 56 89 178 356 623 712 1,246 1,543 2,492 3,086 4,984 6,172 10,801 12,344 21,602 43,204 86,408 137,327 274,654 549,308 961,289 1,098,616 1,922,578 3,845,156 7,690,312

Collatz Trajectory (235 steps to reach 1)

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

7,690,312 3,845,156 1,922,578 961,289 2,883,868 1,441,934 720,967 2,162,902 1,081,451 3,244,354 1,622,177 4,866,532 2,433,266 1,216,633 3,649,900 1,824,950 912,475 2,737,426 1,368,713 4,106,140 2,053,070 1,026,535 3,079,606 1,539,803 4,619,410 2,309,705 6,929,116 3,464,558 1,732,279 5,196,838 2,598,419 7,795,258 3,897,629 11,692,888 5,846,444 2,923,222 1,461,611 4,384,834 2,192,417 6,577,252 3,288,626 1,644,313 4,932,940 2,466,470 1,233,235 3,699,706 1,849,853 5,549,560 2,774,780 1,387,390 693,695 2,081,086 1,040,543 3,121,630 1,560,815 4,682,446 2,341,223 7,023,670 3,511,835 10,535,506

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