λ
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Atlas › Integer Profiles › Node 1,754,300

1,754,300

22 × 52 × 53 × 331
Abundant Even Composite

1,754,300 factors as 2^2 × 5^2 × 53 × 331. Its 36 positive divisors give a proper-divisor sum of 2,136,076, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 53 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,890,376
Proper Divisor Sum 2,136,076
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1754293 ← → #1754303

Radix Representation

Decimal 1754300
Binary 110101100010010111100 (21 bits)
Octal 0o6542274
Hexadecimal 0x1AC4BC

Divisor Catalog (36)

1 2 4 5 10 20 25 50 53 100 106 212 265 331 530 662 1,060 1,324 1,325 1,655 2,650 3,310 5,300 6,620 8,275 16,550 17,543 33,100 35,086 70,172 87,715 175,430 350,860 438,575 877,150 1,754,300

Collatz Trajectory (127 steps to reach 1)

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

1,754,300 877,150 438,575 1,315,726 657,863 1,973,590 986,795 2,960,386 1,480,193 4,440,580 2,220,290 1,110,145 3,330,436 1,665,218 832,609 2,497,828 1,248,914 624,457 1,873,372 936,686 468,343 1,405,030 702,515 2,107,546 1,053,773 3,161,320 1,580,660 790,330 395,165 1,185,496 592,748 296,374 148,187 444,562 222,281 666,844 333,422 166,711 500,134 250,067 750,202 375,101 1,125,304 562,652 281,326 140,663 421,990 210,995 632,986 316,493 949,480 474,740 237,370 118,685 356,056 178,028 89,014 44,507 133,522 66,761

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