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Atlas › Integer Profiles › Node 50,003,558

50,003,558

2 × 11 × 31 × 157 × 467
Deficient Even Composite

50,003,558 factors as 2 × 11 × 31 × 157 × 467. Its 32 positive divisors give a proper-divisor sum of 35,179,930, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 11 × 31 × 157 × 467
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 85,183,488
Proper Divisor Sum 35,179,930
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #50003557 ← → #50003563

Radix Representation

Decimal 50003558
Binary 10111110101111111001100110 (26 bits)
Octal 0o276577146
Hexadecimal 0x2FAFE66

Divisor Catalog (32)

1 2 11 22 31 62 157 314 341 467 682 934 1,727 3,454 4,867 5,137 9,734 10,274 14,477 28,954 53,537 73,319 107,074 146,638 159,247 318,494 806,509 1,613,018 2,272,889 4,545,778 25,001,779 50,003,558

Collatz Trajectory (168 steps to reach 1)

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

50,003,558 25,001,779 75,005,338 37,502,669 112,508,008 56,254,004 28,127,002 14,063,501 42,190,504 21,095,252 10,547,626 5,273,813 15,821,440 7,910,720 3,955,360 1,977,680 988,840 494,420 247,210 123,605 370,816 185,408 92,704 46,352 23,176 11,588 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41

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