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Atlas › Integer Profiles › Node 7,922,488

7,922,488

23 × 7 × 23 × 6151
Abundant Even Composite

7,922,488 factors as 2^3 × 7 × 23 × 6151. Its 32 positive divisors give a proper-divisor sum of 9,795,272, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 23 × 6151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,717,760
Proper Divisor Sum 9,795,272
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7922483 ← → #7922491

Radix Representation

Decimal 7922488
Binary 11110001110001100111000 (23 bits)
Octal 0o36161470
Hexadecimal 0x78E338

Divisor Catalog (32)

1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1,288 6,151 12,302 24,604 43,057 49,208 86,114 141,473 172,228 282,946 344,456 565,892 990,311 1,131,784 1,980,622 3,961,244 7,922,488

Collatz Trajectory (124 steps to reach 1)

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

7,922,488 3,961,244 1,980,622 990,311 2,970,934 1,485,467 4,456,402 2,228,201 6,684,604 3,342,302 1,671,151 5,013,454 2,506,727 7,520,182 3,760,091 11,280,274 5,640,137 16,920,412 8,460,206 4,230,103 12,690,310 6,345,155 19,035,466 9,517,733 28,553,200 14,276,600 7,138,300 3,569,150 1,784,575 5,353,726 2,676,863 8,030,590 4,015,295 12,045,886 6,022,943 18,068,830 9,034,415 27,103,246 13,551,623 40,654,870 20,327,435 60,982,306 30,491,153 91,473,460 45,736,730 22,868,365 68,605,096 34,302,548 17,151,274 8,575,637 25,726,912 12,863,456 6,431,728 3,215,864 1,607,932 803,966 401,983 1,205,950 602,975 1,808,926

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