λ
Integer Codex

3,378,558

2 × 3 × 29 × 19417
Abundant Even Composite

For 3,378,558, the 16 positive divisors have a total of 6,990,480. Removing 3,378,558 leaves 3,611,922, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 19417
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,990,480
Proper Divisor Sum 3,611,922
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3378533 ← → #3378559

Radix Representation

Decimal 3378558
Binary 1100111000110101111110 (22 bits)
Octal 0o14706576
Hexadecimal 0x338D7E

Divisor Catalog (16)

1 2 3 6 29 58 87 174 19,417 38,834 58,251 116,502 563,093 1,126,186 1,689,279 3,378,558

Collatz Trajectory (107 steps to reach 1)

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

3,378,558 1,689,279 5,067,838 2,533,919 7,601,758 3,800,879 11,402,638 5,701,319 17,103,958 8,551,979 25,655,938 12,827,969 38,483,908 19,241,954 9,620,977 28,862,932 14,431,466 7,215,733 21,647,200 10,823,600 5,411,800 2,705,900 1,352,950 676,475 2,029,426 1,014,713 3,044,140 1,522,070 761,035 2,283,106 1,141,553 3,424,660 1,712,330 856,165 2,568,496 1,284,248 642,124 321,062 160,531 481,594 240,797 722,392 361,196 180,598 90,299 270,898 135,449 406,348 203,174 101,587 304,762 152,381 457,144 228,572 114,286 57,143 171,430 85,715 257,146 128,573

More profiles

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