λ
Prime Ledger

3,802,521

3 × 23 × 55109
Deficient Odd Composite

3,802,521 has the prime decomposition 3 × 23 × 55109. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 55109
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,290,560
Proper Divisor Sum 1,488,039
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3802511 ← → #3802523

Radix Representation

Decimal 3802521
Binary 1110100000010110011001 (22 bits)
Octal 0o16402631
Hexadecimal 0x3A0599

Divisor Catalog (8)

1 3 23 69 55,109 165,327 1,267,507 3,802,521

Collatz Trajectory (102 steps to reach 1)

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

3,802,521 11,407,564 5,703,782 2,851,891 8,555,674 4,277,837 12,833,512 6,416,756 3,208,378 1,604,189 4,812,568 2,406,284 1,203,142 601,571 1,804,714 902,357 2,707,072 1,353,536 676,768 338,384 169,192 84,596 42,298 21,149 63,448 31,724 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022

More profiles

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