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Atlas › Integer Profiles › Node 50,008,032

50,008,032

25 × 32 × 89 × 1951
Abundant Even Composite

50,008,032 factors as 2^5 × 3^2 × 89 × 1951. Its 72 positive divisors give a proper-divisor sum of 93,873,888, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 89 × 1951
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 143,881,920
Proper Divisor Sum 93,873,888
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #50008031 ← → #50008051

Radix Representation

Decimal 50008032
Binary 10111110110000111111100000 (26 bits)
Octal 0o276607740
Hexadecimal 0x2FB0FE0

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1,068 1,424 1,602 1,951 2,136 2,848 3,204 3,902 4,272 5,853 6,408 7,804 8,544 11,706 12,816 15,608 17,559 23,412 25,632 31,216 35,118 46,824 62,432 70,236 93,648 140,472 173,639 187,296 280,944 347,278 520,917 561,888 694,556 1,041,834 1,389,112

Collatz Trajectory (160 steps to reach 1)

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

50,008,032 25,004,016 12,502,008 6,251,004 3,125,502 1,562,751 4,688,254 2,344,127 7,032,382 3,516,191 10,548,574 5,274,287 15,822,862 7,911,431 23,734,294 11,867,147 35,601,442 17,800,721 53,402,164 26,701,082 13,350,541 40,051,624 20,025,812 10,012,906 5,006,453 15,019,360 7,509,680 3,754,840 1,877,420 938,710 469,355 1,408,066 704,033 2,112,100 1,056,050 528,025 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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