λ
Prime Ledger

8,138,035

5 × 1627607
Deficient Odd Composite

8,138,035 has the prime decomposition 5 × 1627607. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 1627607
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,765,648
Proper Divisor Sum 1,627,613
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8137999 ← → #8138063

Radix Representation

Decimal 8138035
Binary 11111000010110100110011 (23 bits)
Octal 0o37026463
Hexadecimal 0x7C2D33

Divisor Catalog (4)

1 5 1,627,607 8,138,035

Collatz Trajectory (137 steps to reach 1)

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

8,138,035 24,414,106 12,207,053 36,621,160 18,310,580 9,155,290 4,577,645 13,732,936 6,866,468 3,433,234 1,716,617 5,149,852 2,574,926 1,287,463 3,862,390 1,931,195 5,793,586 2,896,793 8,690,380 4,345,190 2,172,595 6,517,786 3,258,893 9,776,680 4,888,340 2,444,170 1,222,085 3,666,256 1,833,128 916,564 458,282 229,141 687,424 343,712 171,856 85,928 42,964 21,482 10,741 32,224 16,112 8,056 4,028 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612

More profiles

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