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Atlas › Integer Profiles › Node 5,000,754

5,000,754

2 × 3 × 11 × 17 × 4457
Abundant Even Composite

5,000,754 factors as 2 × 3 × 11 × 17 × 4457. Its 32 positive divisors give a proper-divisor sum of 6,554,382, so this integer is abundant. The Collatz stopping time is 343 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 17 × 4457
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,555,136
Proper Divisor Sum 6,554,382
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5000747 ← → #5000759

Radix Representation

Decimal 5000754
Binary 10011000100111000110010 (23 bits)
Octal 0o23047062
Hexadecimal 0x4C4E32

Divisor Catalog (32)

1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1,122 4,457 8,914 13,371 26,742 49,027 75,769 98,054 147,081 151,538 227,307 294,162 454,614 833,459 1,666,918 2,500,377 5,000,754

Collatz Trajectory (343 steps to reach 1)

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

5,000,754 2,500,377 7,501,132 3,750,566 1,875,283 5,625,850 2,812,925 8,438,776 4,219,388 2,109,694 1,054,847 3,164,542 1,582,271 4,746,814 2,373,407 7,120,222 3,560,111 10,680,334 5,340,167 16,020,502 8,010,251 24,030,754 12,015,377 36,046,132 18,023,066 9,011,533 27,034,600 13,517,300 6,758,650 3,379,325 10,137,976 5,068,988 2,534,494 1,267,247 3,801,742 1,900,871 5,702,614 2,851,307 8,553,922 4,276,961 12,830,884 6,415,442 3,207,721 9,623,164 4,811,582 2,405,791 7,217,374 3,608,687 10,826,062 5,413,031 16,239,094 8,119,547 24,358,642 12,179,321 36,537,964 18,268,982 9,134,491 27,403,474 13,701,737 41,105,212

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