1,675,320

2³ × 3 × 5 × 23 × 607

1,675,320 factors as 2^3 × 3 × 5 × 23 × 607. Its 64 positive divisors give a proper-divisor sum of 3,577,800, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 23 × 607

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 5,253,120

Proper Divisor Sum 3,577,800

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1675307 ← → #1675321

Radix Representation

Decimal	1675320
Binary	110011001000000111000 (21 bits)
Octal	0o6310070
Hexadecimal	0x199038

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 607 690 920 1,214 1,380 1,821 2,428 2,760 3,035 3,642 4,856 6,070 7,284 9,105 12,140 13,961 14,568 18,210 24,280 27,922 36,420 41,883 55,844 69,805 72,840 83,766 111,688 139,610 167,532 209,415 279,220 335,064

Collatz Trajectory (114 steps to reach 1)

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

1,675,320 837,660 418,830 209,415 628,246 314,123 942,370 471,185 1,413,556 706,778 353,389 1,060,168 530,084 265,042 132,521 397,564 198,782 99,391 298,174 149,087 447,262 223,631 670,894 335,447 1,006,342 503,171 1,509,514 754,757 2,264,272 1,132,136 566,068 283,034 141,517 424,552 212,276 106,138 53,069 159,208 79,604 39,802 19,901 59,704 29,852 14,926 7,463 22,390 11,195 33,586 16,793 50,380 25,190 12,595 37,786 18,893 56,680 28,340 14,170 7,085 21,256 10,628

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