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Atlas › Integer Profiles › Node 3,710,500

3,710,500

22 × 53 × 41 × 181
Abundant Even Composite

3,710,500 factors as 2^2 × 5^3 × 41 × 181. Its 48 positive divisors give a proper-divisor sum of 4,636,748, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 41 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,347,248
Proper Divisor Sum 4,636,748
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #3710467 ← → #3710501

Radix Representation

Decimal 3710500
Binary 1110001001111000100100 (22 bits)
Octal 0o16117044
Hexadecimal 0x389E24

Divisor Catalog (48)

1 2 4 5 10 20 25 41 50 82 100 125 164 181 205 250 362 410 500 724 820 905 1,025 1,810 2,050 3,620 4,100 4,525 5,125 7,421 9,050 10,250 14,842 18,100 20,500 22,625 29,684 37,105 45,250 74,210 90,500 148,420 185,525 371,050 742,100 927,625 1,855,250 3,710,500

Collatz Trajectory (203 steps to reach 1)

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

3,710,500 1,855,250 927,625 2,782,876 1,391,438 695,719 2,087,158 1,043,579 3,130,738 1,565,369 4,696,108 2,348,054 1,174,027 3,522,082 1,761,041 5,283,124 2,641,562 1,320,781 3,962,344 1,981,172 990,586 495,293 1,485,880 742,940 371,470 185,735 557,206 278,603 835,810 417,905 1,253,716 626,858 313,429 940,288 470,144 235,072 117,536 58,768 29,384 14,692 7,346 3,673 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928

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