λ
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Atlas › Integer Profiles › Node 50,008,100

50,008,100

22 × 52 × 227 × 2203
Abundant Even Composite

50,008,100 factors as 2^2 × 5^2 × 227 × 2203. Its 36 positive divisors give a proper-divisor sum of 59,037,004, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 227 × 2203
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 109,045,104
Proper Divisor Sum 59,037,004
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #50008099 ← → #50008129

Radix Representation

Decimal 50008100
Binary 10111110110001000000100100 (26 bits)
Octal 0o276610044
Hexadecimal 0x2FB1024

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 227 454 908 1,135 2,203 2,270 4,406 4,540 5,675 8,812 11,015 11,350 22,030 22,700 44,060 55,075 110,150 220,300 500,081 1,000,162 2,000,324 2,500,405 5,000,810 10,001,620 12,502,025 25,004,050 50,008,100

Collatz Trajectory (160 steps to reach 1)

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

50,008,100 25,004,050 12,502,025 37,506,076 18,753,038 9,376,519 28,129,558 14,064,779 42,194,338 21,097,169 63,291,508 31,645,754 15,822,877 47,468,632 23,734,316 11,867,158 5,933,579 17,800,738 8,900,369 26,701,108 13,350,554 6,675,277 20,025,832 10,012,916 5,006,458 2,503,229 7,509,688 3,754,844 1,877,422 938,711 2,816,134 1,408,067 4,224,202 2,112,101 6,336,304 3,168,152 1,584,076 792,038 396,019 1,188,058 594,029 1,782,088 891,044 445,522 222,761 668,284 334,142 167,071 501,214 250,607 751,822 375,911 1,127,734 563,867 1,691,602 845,801 2,537,404 1,268,702 634,351 1,903,054

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