λ
Prime Ledger

2,121,592

23 × 11 × 24109
Abundant Even Composite

2,121,592 has the prime decomposition 2^3 × 11 × 24109. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 24109
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,339,800
Proper Divisor Sum 2,218,208
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2121569 ← → #2121601

Radix Representation

Decimal 2121592
Binary 1000000101111101111000 (22 bits)
Octal 0o10057570
Hexadecimal 0x205F78

Divisor Catalog (16)

1 2 4 8 11 22 44 88 24,109 48,218 96,436 192,872 265,199 530,398 1,060,796 2,121,592

Collatz Trajectory (166 steps to reach 1)

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

2,121,592 1,060,796 530,398 265,199 795,598 397,799 1,193,398 596,699 1,790,098 895,049 2,685,148 1,342,574 671,287 2,013,862 1,006,931 3,020,794 1,510,397 4,531,192 2,265,596 1,132,798 566,399 1,699,198 849,599 2,548,798 1,274,399 3,823,198 1,911,599 5,734,798 2,867,399 8,602,198 4,301,099 12,903,298 6,451,649 19,354,948 9,677,474 4,838,737 14,516,212 7,258,106 3,629,053 10,887,160 5,443,580 2,721,790 1,360,895 4,082,686 2,041,343 6,124,030 3,062,015 9,186,046 4,593,023 13,779,070 6,889,535 20,668,606 10,334,303 31,002,910 15,501,455 46,504,366 23,252,183 69,756,550 34,878,275 104,634,826

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