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Atlas › Integer Profiles › Node 7,979,892

7,979,892

22 × 3 × 53 × 12547
Abundant Even Composite

7,979,892 factors as 2^2 × 3 × 53 × 12547. Its 24 positive divisors give a proper-divisor sum of 10,992,684, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 53 × 12547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,972,576
Proper Divisor Sum 10,992,684
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #7979891 ← → #7979893

Radix Representation

Decimal 7979892
Binary 11110011100001101110100 (23 bits)
Octal 0o36341564
Hexadecimal 0x79C374

Divisor Catalog (24)

1 2 3 4 6 12 53 106 159 212 318 636 12,547 25,094 37,641 50,188 75,282 150,564 664,991 1,329,982 1,994,973 2,659,964 3,989,946 7,979,892

Collatz Trajectory (142 steps to reach 1)

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

7,979,892 3,989,946 1,994,973 5,984,920 2,992,460 1,496,230 748,115 2,244,346 1,122,173 3,366,520 1,683,260 841,630 420,815 1,262,446 631,223 1,893,670 946,835 2,840,506 1,420,253 4,260,760 2,130,380 1,065,190 532,595 1,597,786 798,893 2,396,680 1,198,340 599,170 299,585 898,756 449,378 224,689 674,068 337,034 168,517 505,552 252,776 126,388 63,194 31,597 94,792 47,396 23,698 11,849 35,548 17,774 8,887 26,662 13,331 39,994 19,997 59,992 29,996 14,998 7,499 22,498 11,249 33,748 16,874 8,437

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