2,036,628

2² × 3² × 11 × 37 × 139

2,036,628 factors as 2^2 × 3^2 × 11 × 37 × 139. Its 72 positive divisors give a proper-divisor sum of 3,772,812, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 37 × 139

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 5,809,440

Proper Divisor Sum 3,772,812

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2036623 ← → #2036663

Radix Representation

Decimal	2036628
Binary	111110001001110010100 (21 bits)
Octal	0o7611624
Hexadecimal	0x1F1394

Divisor Catalog (60 of 72)

1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 139 148 198 222 278 333 396 407 417 444 556 666 814 834 1,221 1,251 1,332 1,529 1,628 1,668 2,442 2,502 3,058 3,663 4,587 4,884 5,004 5,143 6,116 7,326 9,174 10,286 13,761 14,652 15,429 18,348 20,572 27,522 30,858 46,287 55,044

Collatz Trajectory (135 steps to reach 1)

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

2,036,628 1,018,314 509,157 1,527,472 763,736 381,868 190,934 95,467 286,402 143,201 429,604 214,802 107,401 322,204 161,102 80,551 241,654 120,827 362,482 181,241 543,724 271,862 135,931 407,794 203,897 611,692 305,846 152,923 458,770 229,385 688,156 344,078 172,039 516,118 258,059 774,178 387,089 1,161,268 580,634 290,317 870,952 435,476 217,738 108,869 326,608 163,304 81,652 40,826 20,413 61,240 30,620 15,310 7,655 22,966 11,483 34,450 17,225 51,676 25,838 12,919

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