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Atlas › Integer Profiles › Node 30,204,944

30,204,944

24 × 7 × 11 × 24517
Abundant Even Composite

30,204,944 factors as 2^4 × 7 × 11 × 24517. Its 40 positive divisors give a proper-divisor sum of 42,760,624, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 24517
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 72,965,568
Proper Divisor Sum 42,760,624
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #30204929 ← → #30204947

Radix Representation

Decimal 30204944
Binary 1110011001110010000010000 (25 bits)
Octal 0o163162020
Hexadecimal 0x1CCE410

Divisor Catalog (40)

1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1,232 24,517 49,034 98,068 171,619 196,136 269,687 343,238 392,272 539,374 686,476 1,078,748 1,372,952 1,887,809 2,157,496 2,745,904 3,775,618 4,314,992 7,551,236 15,102,472 30,204,944

Collatz Trajectory (113 steps to reach 1)

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

30,204,944 15,102,472 7,551,236 3,775,618 1,887,809 5,663,428 2,831,714 1,415,857 4,247,572 2,123,786 1,061,893 3,185,680 1,592,840 796,420 398,210 199,105 597,316 298,658 149,329 447,988 223,994 111,997 335,992 167,996 83,998 41,999 125,998 62,999 188,998 94,499 283,498 141,749 425,248 212,624 106,312 53,156 26,578 13,289 39,868 19,934 9,967 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868 31,934

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