λ
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Atlas › Integer Profiles › Node 53,239,260

53,239,260

22 × 3 × 5 × 337 × 2633
Abundant Even Composite

53,239,260 factors as 2^2 × 3 × 5 × 337 × 2633. Its 48 positive divisors give a proper-divisor sum of 96,329,796, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 337 × 2633
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 149,569,056
Proper Divisor Sum 96,329,796
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #53239253 ← → #53239261

Radix Representation

Decimal 53239260
Binary 11001011000101110111011100 (26 bits)
Octal 0o313056734
Hexadecimal 0x32C5DDC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 337 674 1,011 1,348 1,685 2,022 2,633 3,370 4,044 5,055 5,266 6,740 7,899 10,110 10,532 13,165 15,798 20,220 26,330 31,596 39,495 52,660 78,990 157,980 887,321 1,774,642 2,661,963 3,549,284 4,436,605 5,323,926 8,873,210 10,647,852 13,309,815 17,746,420 26,619,630 53,239,260

Collatz Trajectory (150 steps to reach 1)

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

53,239,260 26,619,630 13,309,815 39,929,446 19,964,723 59,894,170 29,947,085 89,841,256 44,920,628 22,460,314 11,230,157 33,690,472 16,845,236 8,422,618 4,211,309 12,633,928 6,316,964 3,158,482 1,579,241 4,737,724 2,368,862 1,184,431 3,553,294 1,776,647 5,329,942 2,664,971 7,994,914 3,997,457 11,992,372 5,996,186 2,998,093 8,994,280 4,497,140 2,248,570 1,124,285 3,372,856 1,686,428 843,214 421,607 1,264,822 632,411 1,897,234 948,617 2,845,852 1,422,926 711,463 2,134,390 1,067,195 3,201,586 1,600,793 4,802,380 2,401,190 1,200,595 3,601,786 1,800,893 5,402,680 2,701,340 1,350,670 675,335 2,026,006

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