1,675,040

2⁵ × 5 × 19² × 29

1,675,040 factors as 2^5 × 5 × 19^2 × 29. Its 72 positive divisors give a proper-divisor sum of 2,645,500, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 19^2 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 4,320,540

Proper Divisor Sum 2,645,500

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1675039 ← → #1675049

Radix Representation

Decimal	1675040
Binary	110011000111100100000 (21 bits)
Octal	0o6307440
Hexadecimal	0x198F20

Divisor Catalog (60 of 72)

1 2 4 5 8 10 16 19 20 29 32 38 40 58 76 80 95 116 145 152 160 190 232 290 304 361 380 464 551 580 608 722 760 928 1,102 1,160 1,444 1,520 1,805 2,204 2,320 2,755 2,888 3,040 3,610 4,408 4,640 5,510 5,776 7,220 8,816 10,469 11,020 11,552 14,440 17,632 20,938 22,040 28,880 41,876

Collatz Trajectory (176 steps to reach 1)

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

1,675,040 837,520 418,760 209,380 104,690 52,345 157,036 78,518 39,259 117,778 58,889 176,668 88,334 44,167 132,502 66,251 198,754 99,377 298,132 149,066 74,533 223,600 111,800 55,900 27,950 13,975 41,926 20,963 62,890 31,445 94,336 47,168 23,584 11,792 5,896 2,948 1,474 737 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

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