λ
Integer Codex

2,978,289

34 × 83 × 443
Deficient Odd Composite

For 2,978,289, the 20 positive divisors have a total of 4,512,816. Removing 2,978,289 leaves 1,534,527, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^4 × 83 × 443
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,512,816
Proper Divisor Sum 1,534,527
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #2978273 ← → #2978299

Radix Representation

Decimal 2978289
Binary 1011010111000111110001 (22 bits)
Octal 0o13270761
Hexadecimal 0x2D71F1

Divisor Catalog (20)

1 3 9 27 81 83 249 443 747 1,329 2,241 3,987 6,723 11,961 35,883 36,769 110,307 330,921 992,763 2,978,289

Collatz Trajectory (151 steps to reach 1)

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

2,978,289 8,934,868 4,467,434 2,233,717 6,701,152 3,350,576 1,675,288 837,644 418,822 209,411 628,234 314,117 942,352 471,176 235,588 117,794 58,897 176,692 88,346 44,173 132,520 66,260 33,130 16,565 49,696 24,848 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91

More profiles

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