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Atlas › Integer Profiles › Node 7,304,970

7,304,970

2 × 3 × 5 × 41 × 5939
Abundant Even Composite

7,304,970 factors as 2 × 3 × 5 × 41 × 5939. Its 32 positive divisors give a proper-divisor sum of 10,657,590, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 41 × 5939
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,962,560
Proper Divisor Sum 10,657,590
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7304963 ← → #7304971

Radix Representation

Decimal 7304970
Binary 11011110111011100001010 (23 bits)
Octal 0o33673412
Hexadecimal 0x6F770A

Divisor Catalog (32)

1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1,230 5,939 11,878 17,817 29,695 35,634 59,390 89,085 178,170 243,499 486,998 730,497 1,217,495 1,460,994 2,434,990 3,652,485 7,304,970

Collatz Trajectory (204 steps to reach 1)

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

7,304,970 3,652,485 10,957,456 5,478,728 2,739,364 1,369,682 684,841 2,054,524 1,027,262 513,631 1,540,894 770,447 2,311,342 1,155,671 3,467,014 1,733,507 5,200,522 2,600,261 7,800,784 3,900,392 1,950,196 975,098 487,549 1,462,648 731,324 365,662 182,831 548,494 274,247 822,742 411,371 1,234,114 617,057 1,851,172 925,586 462,793 1,388,380 694,190 347,095 1,041,286 520,643 1,561,930 780,965 2,342,896 1,171,448 585,724 292,862 146,431 439,294 219,647 658,942 329,471 988,414 494,207 1,482,622 741,311 2,223,934 1,111,967 3,335,902 1,667,951

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