λ
Math Directory

8,142,058

2 × 107 × 38047
Deficient Even Composite

8,142,058 factors as 2 × 107 × 38047. Its 8 positive divisors give a proper-divisor sum of 4,185,494, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 107 × 38047
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,327,552
Proper Divisor Sum 4,185,494
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8142049 ← → #8142077

Radix Representation

Decimal 8142058
Binary 11111000011110011101010 (23 bits)
Octal 0o37036352
Hexadecimal 0x7C3CEA

Divisor Catalog (8)

1 2 107 214 38,047 76,094 4,071,029 8,142,058

Collatz Trajectory (93 steps to reach 1)

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

8,142,058 4,071,029 12,213,088 6,106,544 3,053,272 1,526,636 763,318 381,659 1,144,978 572,489 1,717,468 858,734 429,367 1,288,102 644,051 1,932,154 966,077 2,898,232 1,449,116 724,558 362,279 1,086,838 543,419 1,630,258 815,129 2,445,388 1,222,694 611,347 1,834,042 917,021 2,751,064 1,375,532 687,766 343,883 1,031,650 515,825 1,547,476 773,738 386,869 1,160,608 580,304 290,152 145,076 72,538 36,269 108,808 54,404 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608

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