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Atlas › Integer Profiles › Node 7,572,984

7,572,984

23 × 3 × 97 × 3253
Abundant Even Composite

7,572,984 factors as 2^3 × 3 × 97 × 3253. Its 32 positive divisors give a proper-divisor sum of 11,560,536, so this integer is abundant. The Collatz stopping time is 385 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 97 × 3253
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,133,520
Proper Divisor Sum 11,560,536
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7572977 ← → #7572989

Radix Representation

Decimal 7572984
Binary 11100111000110111111000 (23 bits)
Octal 0o34706770
Hexadecimal 0x738DF8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 97 194 291 388 582 776 1,164 2,328 3,253 6,506 9,759 13,012 19,518 26,024 39,036 78,072 315,541 631,082 946,623 1,262,164 1,893,246 2,524,328 3,786,492 7,572,984

Collatz Trajectory (385 steps to reach 1)

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

7,572,984 3,786,492 1,893,246 946,623 2,839,870 1,419,935 4,259,806 2,129,903 6,389,710 3,194,855 9,584,566 4,792,283 14,376,850 7,188,425 21,565,276 10,782,638 5,391,319 16,173,958 8,086,979 24,260,938 12,130,469 36,391,408 18,195,704 9,097,852 4,548,926 2,274,463 6,823,390 3,411,695 10,235,086 5,117,543 15,352,630 7,676,315 23,028,946 11,514,473 34,543,420 17,271,710 8,635,855 25,907,566 12,953,783 38,861,350 19,430,675 58,292,026 29,146,013 87,438,040 43,719,020 21,859,510 10,929,755 32,789,266 16,394,633 49,183,900 24,591,950 12,295,975 36,887,926 18,443,963 55,331,890 27,665,945 82,997,836 41,498,918 20,749,459 62,248,378

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