5,656,140

2² × 3² × 5 × 7 × 67²

5,656,140 factors as 2^2 × 3^2 × 5 × 7 × 67^2. Its 108 positive divisors give a proper-divisor sum of 14,248,836, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7 × 67^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 19,904,976

Proper Divisor Sum 14,248,836

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5656139 ← → #5656141

Radix Representation

Decimal	5656140
Binary	10101100100111001001100 (23 bits)
Octal	0o25447114
Hexadecimal	0x564E4C

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 67 70 84 90 105 126 134 140 180 201 210 252 268 315 335 402 420 469 603 630 670 804 938 1,005 1,206 1,260 1,340 1,407 1,876 2,010 2,345 2,412 2,814 3,015 4,020 4,221 4,489

Collatz Trajectory (170 steps to reach 1)

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

5,656,140 2,828,070 1,414,035 4,242,106 2,121,053 6,363,160 3,181,580 1,590,790 795,395 2,386,186 1,193,093 3,579,280 1,789,640 894,820 447,410 223,705 671,116 335,558 167,779 503,338 251,669 755,008 377,504 188,752 94,376 47,188 23,594 11,797 35,392 17,696 8,848 4,424 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000

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