λ
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7,553,442

2 × 3 × 13 × 179 × 541
Abundant Even Composite

7,553,442 factors as 2 × 3 × 13 × 179 × 541. Its 32 positive divisors give a proper-divisor sum of 8,836,638, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 179 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,390,080
Proper Divisor Sum 8,836,638
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7553437 ← → #7553449

Radix Representation

Decimal 7553442
Binary 11100110100000110100010 (23 bits)
Octal 0o34640642
Hexadecimal 0x7341A2

Divisor Catalog (32)

1 2 3 6 13 26 39 78 179 358 537 541 1,074 1,082 1,623 2,327 3,246 4,654 6,981 7,033 13,962 14,066 21,099 42,198 96,839 193,678 290,517 581,034 1,258,907 2,517,814 3,776,721 7,553,442

Collatz Trajectory (204 steps to reach 1)

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

7,553,442 3,776,721 11,330,164 5,665,082 2,832,541 8,497,624 4,248,812 2,124,406 1,062,203 3,186,610 1,593,305 4,779,916 2,389,958 1,194,979 3,584,938 1,792,469 5,377,408 2,688,704 1,344,352 672,176 336,088 168,044 84,022 42,011 126,034 63,017 189,052 94,526 47,263 141,790 70,895 212,686 106,343 319,030 159,515 478,546 239,273 717,820 358,910 179,455 538,366 269,183 807,550 403,775 1,211,326 605,663 1,816,990 908,495 2,725,486 1,362,743 4,088,230 2,044,115 6,132,346 3,066,173 9,198,520 4,599,260 2,299,630 1,149,815 3,449,446 1,724,723

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