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Atlas › Integer Profiles › Node 7,974,036

7,974,036

22 × 32 × 7 × 31643
Abundant Even Composite

7,974,036 factors as 2^2 × 3^2 × 7 × 31643. Its 36 positive divisors give a proper-divisor sum of 15,062,796, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 31643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 23,036,832
Proper Divisor Sum 15,062,796
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7974017 ← → #7974041

Radix Representation

Decimal 7974036
Binary 11110011010110010010100 (23 bits)
Octal 0o36326224
Hexadecimal 0x79AC94

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 31,643 63,286 94,929 126,572 189,858 221,501 284,787 379,716 443,002 569,574 664,503 886,004 1,139,148 1,329,006 1,993,509 2,658,012 3,987,018 7,974,036

Collatz Trajectory (116 steps to reach 1)

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

7,974,036 3,987,018 1,993,509 5,980,528 2,990,264 1,495,132 747,566 373,783 1,121,350 560,675 1,682,026 841,013 2,523,040 1,261,520 630,760 315,380 157,690 78,845 236,536 118,268 59,134 29,567 88,702 44,351 133,054 66,527 199,582 99,791 299,374 149,687 449,062 224,531 673,594 336,797 1,010,392 505,196 252,598 126,299 378,898 189,449 568,348 284,174 142,087 426,262 213,131 639,394 319,697 959,092 479,546 239,773 719,320 359,660 179,830 89,915 269,746 134,873 404,620 202,310 101,155 303,466

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