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1,964,720

24 × 5 × 41 × 599
Abundant Even Composite

1,964,720 factors as 2^4 × 5 × 41 × 599. Its 40 positive divisors give a proper-divisor sum of 2,722,480, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 41 × 599
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,687,200
Proper Divisor Sum 2,722,480
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1964719 ← → #1964723

Radix Representation

Decimal 1964720
Binary 111011111101010110000 (21 bits)
Octal 0o7375260
Hexadecimal 0x1DFAB0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 599 656 820 1,198 1,640 2,396 2,995 3,280 4,792 5,990 9,584 11,980 23,960 24,559 47,920 49,118 98,236 122,795 196,472 245,590 392,944 491,180 982,360 1,964,720

Collatz Trajectory (78 steps to reach 1)

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

1,964,720 982,360 491,180 245,590 122,795 368,386 184,193 552,580 276,290 138,145 414,436 207,218 103,609 310,828 155,414 77,707 233,122 116,561 349,684 174,842 87,421 262,264 131,132 65,566 32,783 98,350 49,175 147,526 73,763 221,290 110,645 331,936 165,968 82,984 41,492 20,746 10,373 31,120 15,560 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58

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