λ
Integer Codex

2,882,948

22 × 292 × 857
Deficient Even Composite

For 2,882,948, the 18 positive divisors have a total of 5,231,226. Removing 2,882,948 leaves 2,348,278, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 29^2 × 857
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 5,231,226
Proper Divisor Sum 2,348,278
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #2882923 ← → #2882953

Radix Representation

Decimal 2882948
Binary 1010111111110110000100 (22 bits)
Octal 0o12776604
Hexadecimal 0x2BFD84

Divisor Catalog (18)

1 2 4 29 58 116 841 857 1,682 1,714 3,364 3,428 24,853 49,706 99,412 720,737 1,441,474 2,882,948

Collatz Trajectory (182 steps to reach 1)

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

2,882,948 1,441,474 720,737 2,162,212 1,081,106 540,553 1,621,660 810,830 405,415 1,216,246 608,123 1,824,370 912,185 2,736,556 1,368,278 684,139 2,052,418 1,026,209 3,078,628 1,539,314 769,657 2,308,972 1,154,486 577,243 1,731,730 865,865 2,597,596 1,298,798 649,399 1,948,198 974,099 2,922,298 1,461,149 4,383,448 2,191,724 1,095,862 547,931 1,643,794 821,897 2,465,692 1,232,846 616,423 1,849,270 924,635 2,773,906 1,386,953 4,160,860 2,080,430 1,040,215 3,120,646 1,560,323 4,680,970 2,340,485 7,021,456 3,510,728 1,755,364 877,682 438,841 1,316,524 658,262

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