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4,997,510

2 × 5 × 73 × 31 × 47
Abundant Even Composite

4,997,510 factors as 2 × 5 × 7^3 × 31 × 47. Its 64 positive divisors give a proper-divisor sum of 6,061,690, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^3 × 31 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,059,200
Proper Divisor Sum 6,061,690
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4997491 ← → #4997521

Radix Representation

Decimal 4997510
Binary 10011000100000110000110 (23 bits)
Octal 0o23040606
Hexadecimal 0x4C4186

Divisor Catalog (60 of 64)

1 2 5 7 10 14 31 35 47 49 62 70 94 98 155 217 235 245 310 329 343 434 470 490 658 686 1,085 1,457 1,519 1,645 1,715 2,170 2,303 2,914 3,038 3,290 3,430 4,606 7,285 7,595 10,199 10,633 11,515 14,570 15,190 16,121 20,398 21,266 23,030 32,242 50,995 53,165 71,393 80,605 101,990 106,330 142,786 161,210 356,965 499,751

Collatz Trajectory (118 steps to reach 1)

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

4,997,510 2,498,755 7,496,266 3,748,133 11,244,400 5,622,200 2,811,100 1,405,550 702,775 2,108,326 1,054,163 3,162,490 1,581,245 4,743,736 2,371,868 1,185,934 592,967 1,778,902 889,451 2,668,354 1,334,177 4,002,532 2,001,266 1,000,633 3,001,900 1,500,950 750,475 2,251,426 1,125,713 3,377,140 1,688,570 844,285 2,532,856 1,266,428 633,214 316,607 949,822 474,911 1,424,734 712,367 2,137,102 1,068,551 3,205,654 1,602,827 4,808,482 2,404,241 7,212,724 3,606,362 1,803,181 5,409,544 2,704,772 1,352,386 676,193 2,028,580 1,014,290 507,145 1,521,436 760,718 380,359 1,141,078

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