3,041,920

2⁷ × 5 × 7² × 97

3,041,920 factors as 2^7 × 5 × 7^2 × 97. Its 96 positive divisors give a proper-divisor sum of 5,504,660, so this integer is abundant. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 7^2 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 8,546,580

Proper Divisor Sum 5,504,660

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3041917 ← → #3041921

Radix Representation

Decimal	3041920
Binary	1011100110101010000000 (22 bits)
Octal	0o13465200
Hexadecimal	0x2E6A80

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 97 98 112 128 140 160 194 196 224 245 280 320 388 392 448 485 490 560 640 679 776 784 896 970 980 1,120 1,358 1,552 1,568 1,940 1,960 2,240 2,716 3,104 3,136 3,395 3,880 3,920 4,480 4,753 5,432

Collatz Trajectory (58 steps to reach 1)

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

3,041,920 1,520,960 760,480 380,240 190,120 95,060 47,530 23,765 71,296 35,648 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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