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Atlas › Integer Profiles › Node 2,040,752

2,040,752

24 × 72 × 19 × 137
Abundant Even Composite

2,040,752 factors as 2^4 × 7^2 × 19 × 137. Its 60 positive divisors give a proper-divisor sum of 2,836,168, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 19 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 4,876,920
Proper Divisor Sum 2,836,168
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2040749 ← → #2040769

Radix Representation

Decimal 2040752
Binary 111110010001110110000 (21 bits)
Octal 0o7621660
Hexadecimal 0x1F23B0

Divisor Catalog (60)

1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 137 152 196 266 274 304 392 532 548 784 931 959 1,064 1,096 1,862 1,918 2,128 2,192 2,603 3,724 3,836 5,206 6,713 7,448 7,672 10,412 13,426 14,896 15,344 18,221 20,824 26,852 36,442 41,648 53,704 72,884 107,408 127,547 145,768 255,094 291,536 510,188 1,020,376 2,040,752

Collatz Trajectory (153 steps to reach 1)

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

2,040,752 1,020,376 510,188 255,094 127,547 382,642 191,321 573,964 286,982 143,491 430,474 215,237 645,712 322,856 161,428 80,714 40,357 121,072 60,536 30,268 15,134 7,567 22,702 11,351 34,054 17,027 51,082 25,541 76,624 38,312 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364

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