λ
Prime Ledger

2,044,984

23 × 107 × 2389
Deficient Even Composite

2,044,984 has the prime decomposition 2^3 × 107 × 2389. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 107 × 2389
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,871,800
Proper Divisor Sum 1,826,816
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2044979 ← → #2045009

Radix Representation

Decimal 2044984
Binary 111110011010000111000 (21 bits)
Octal 0o7632070
Hexadecimal 0x1F3438

Divisor Catalog (16)

1 2 4 8 107 214 428 856 2,389 4,778 9,556 19,112 255,623 511,246 1,022,492 2,044,984

Collatz Trajectory (197 steps to reach 1)

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

2,044,984 1,022,492 511,246 255,623 766,870 383,435 1,150,306 575,153 1,725,460 862,730 431,365 1,294,096 647,048 323,524 161,762 80,881 242,644 121,322 60,661 181,984 90,992 45,496 22,748 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976

More profiles

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