λ
Integer Codex

6,875,378

2 × 17 × 19 × 29 × 367
Deficient Even Composite

For 6,875,378, the 32 positive divisors have a total of 11,923,200. Removing 6,875,378 leaves 5,047,822, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 17 × 19 × 29 × 367
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,923,200
Proper Divisor Sum 5,047,822
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #6875333 ← → #6875383

Radix Representation

Decimal 6875378
Binary 11010001110100011110010 (23 bits)
Octal 0o32164362
Hexadecimal 0x68E8F2

Divisor Catalog (32)

1 2 17 19 29 34 38 58 323 367 493 551 646 734 986 1,102 6,239 6,973 9,367 10,643 12,478 13,946 18,734 21,286 118,541 180,931 202,217 237,082 361,862 404,434 3,437,689 6,875,378

Collatz Trajectory (103 steps to reach 1)

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

6,875,378 3,437,689 10,313,068 5,156,534 2,578,267 7,734,802 3,867,401 11,602,204 5,801,102 2,900,551 8,701,654 4,350,827 13,052,482 6,526,241 19,578,724 9,789,362 4,894,681 14,684,044 7,342,022 3,671,011 11,013,034 5,506,517 16,519,552 8,259,776 4,129,888 2,064,944 1,032,472 516,236 258,118 129,059 387,178 193,589 580,768 290,384 145,192 72,596 36,298 18,149 54,448 27,224 13,612 6,806 3,403 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214

More profiles

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