7,589,490

2 × 3 × 5 × 252983

7,589,490 factors as 2 × 3 × 5 × 252983. Its 16 positive divisors give a proper-divisor sum of 10,625,358, so this integer is abundant. The Collatz stopping time is 398 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 252983

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,214,848

Proper Divisor Sum 10,625,358

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7589489 ← → #7589507

Radix Representation

Decimal	7589490
Binary	11100111100111001110010 (23 bits)
Octal	0o34747162
Hexadecimal	0x73CE72

Divisor Catalog (16)

1 2 3 5 6 10 15 30 252,983 505,966 758,949 1,264,915 1,517,898 2,529,830 3,794,745 7,589,490

Collatz Trajectory (398 steps to reach 1)

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

7,589,490 3,794,745 11,384,236 5,692,118 2,846,059 8,538,178 4,269,089 12,807,268 6,403,634 3,201,817 9,605,452 4,802,726 2,401,363 7,204,090 3,602,045 10,806,136 5,403,068 2,701,534 1,350,767 4,052,302 2,026,151 6,078,454 3,039,227 9,117,682 4,558,841 13,676,524 6,838,262 3,419,131 10,257,394 5,128,697 15,386,092 7,693,046 3,846,523 11,539,570 5,769,785 17,309,356 8,654,678 4,327,339 12,982,018 6,491,009 19,473,028 9,736,514 4,868,257 14,604,772 7,302,386 3,651,193 10,953,580 5,476,790 2,738,395 8,215,186 4,107,593 12,322,780 6,161,390 3,080,695 9,242,086 4,621,043 13,863,130 6,931,565 20,794,696 10,397,348

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