λ
Prime Ledger

2,042,989

13 × 41 × 3833
Deficient Odd Composite

2,042,989 has the prime decomposition 13 × 41 × 3833. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 41 × 3833
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,254,392
Proper Divisor Sum 211,403
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2042983 ← → #2043001

Radix Representation

Decimal 2042989
Binary 111110010110001101101 (21 bits)
Octal 0o7626155
Hexadecimal 0x1F2C6D

Divisor Catalog (8)

1 13 41 533 3,833 49,829 157,153 2,042,989

Collatz Trajectory (65 steps to reach 1)

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

2,042,989 6,128,968 3,064,484 1,532,242 766,121 2,298,364 1,149,182 574,591 1,723,774 861,887 2,585,662 1,292,831 3,878,494 1,939,247 5,817,742 2,908,871 8,726,614 4,363,307 13,089,922 6,544,961 19,634,884 9,817,442 4,908,721 14,726,164 7,363,082 3,681,541 11,044,624 5,522,312 2,761,156 1,380,578 690,289 2,070,868 1,035,434 517,717 1,553,152 776,576 388,288 194,144 97,072 48,536 24,268 12,134 6,067 18,202 9,101 27,304 13,652 6,826 3,413 10,240 5,120 2,560 1,280 640 320 160 80 40 20 10

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