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Atlas › Integer Profiles › Node 1,997,240

1,997,240

23 × 5 × 72 × 1019
Abundant Even Composite

1,997,240 factors as 2^3 × 5 × 7^2 × 1019. Its 48 positive divisors give a proper-divisor sum of 3,235,360, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7^2 × 1019
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,232,600
Proper Divisor Sum 3,235,360
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1997231 ← → #1997243

Radix Representation

Decimal 1997240
Binary 111100111100110111000 (21 bits)
Octal 0o7474670
Hexadecimal 0x1E79B8

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1,019 1,960 2,038 4,076 5,095 7,133 8,152 10,190 14,266 20,380 28,532 35,665 40,760 49,931 57,064 71,330 99,862 142,660 199,724 249,655 285,320 399,448 499,310 998,620 1,997,240

Collatz Trajectory (184 steps to reach 1)

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

1,997,240 998,620 499,310 249,655 748,966 374,483 1,123,450 561,725 1,685,176 842,588 421,294 210,647 631,942 315,971 947,914 473,957 1,421,872 710,936 355,468 177,734 88,867 266,602 133,301 399,904 199,952 99,976 49,988 24,994 12,497 37,492 18,746 9,373 28,120 14,060 7,030 3,515 10,546 5,273 15,820 7,910 3,955 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353

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