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Atlas › Integer Profiles › Node 51,189,190

51,189,190

2 × 5 × 13 × 271 × 1453
Deficient Even Composite

51,189,190 factors as 2 × 5 × 13 × 271 × 1453. Its 32 positive divisors give a proper-divisor sum of 48,473,786, so this integer is deficient. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 271 × 1453
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 99,662,976
Proper Divisor Sum 48,473,786
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #51189179 ← → #51189199

Radix Representation

Decimal 51189190
Binary 11000011010001010111000110 (26 bits)
Octal 0o303212706
Hexadecimal 0x30D15C6

Divisor Catalog (32)

1 2 5 10 13 26 65 130 271 542 1,355 1,453 2,710 2,906 3,523 7,046 7,265 14,530 17,615 18,889 35,230 37,778 94,445 188,890 393,763 787,526 1,968,815 3,937,630 5,118,919 10,237,838 25,594,595 51,189,190

Collatz Trajectory (62 steps to reach 1)

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

51,189,190 25,594,595 76,783,786 38,391,893 115,175,680 57,587,840 28,793,920 14,396,960 7,198,480 3,599,240 1,799,620 899,810 449,905 1,349,716 674,858 337,429 1,012,288 506,144 253,072 126,536 63,268 31,634 15,817 47,452 23,726 11,863 35,590 17,795 53,386 26,693 80,080 40,040 20,020 10,010 5,005 15,016 7,508 3,754 1,877 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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