λ
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Atlas › Integer Profiles › Node 42,557,000

42,557,000

23 × 53 × 42557
Abundant Even Composite

42,557,000 factors as 2^3 × 5^3 × 42557. Its 32 positive divisors give a proper-divisor sum of 57,028,720, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^3 × 5^3 × 42557
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 99,585,720
Proper Divisor Sum 57,028,720
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #42556999 ← → #42557051

Radix Representation

Decimal 42557000
Binary 10100010010101111001001000 (26 bits)
Octal 0o242257110
Hexadecimal 0x2895E48

Divisor Catalog (32)

1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1,000 42,557 85,114 170,228 212,785 340,456 425,570 851,140 1,063,925 1,702,280 2,127,850 4,255,700 5,319,625 8,511,400 10,639,250 21,278,500 42,557,000

Collatz Trajectory (147 steps to reach 1)

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

42,557,000 21,278,500 10,639,250 5,319,625 15,958,876 7,979,438 3,989,719 11,969,158 5,984,579 17,953,738 8,976,869 26,930,608 13,465,304 6,732,652 3,366,326 1,683,163 5,049,490 2,524,745 7,574,236 3,787,118 1,893,559 5,680,678 2,840,339 8,521,018 4,260,509 12,781,528 6,390,764 3,195,382 1,597,691 4,793,074 2,396,537 7,189,612 3,594,806 1,797,403 5,392,210 2,696,105 8,088,316 4,044,158 2,022,079 6,066,238 3,033,119 9,099,358 4,549,679 13,649,038 6,824,519 20,473,558 10,236,779 30,710,338 15,355,169 46,065,508 23,032,754 11,516,377 34,549,132 17,274,566 8,637,283 25,911,850 12,955,925 38,867,776 19,433,888 9,716,944

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