λ
Integer Codex

6,784,374

2 × 3 × 97 × 11657
Abundant Even Composite

For 6,784,374, the 16 positive divisors have a total of 13,709,808. Removing 6,784,374 leaves 6,925,434, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 97 × 11657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,709,808
Proper Divisor Sum 6,925,434
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6784373 ← → #6784399

Radix Representation

Decimal 6784374
Binary 11001111000010101110110 (23 bits)
Octal 0o31702566
Hexadecimal 0x678576

Divisor Catalog (16)

1 2 3 6 97 194 291 582 11,657 23,314 34,971 69,942 1,130,729 2,261,458 3,392,187 6,784,374

Collatz Trajectory (222 steps to reach 1)

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

6,784,374 3,392,187 10,176,562 5,088,281 15,264,844 7,632,422 3,816,211 11,448,634 5,724,317 17,172,952 8,586,476 4,293,238 2,146,619 6,439,858 3,219,929 9,659,788 4,829,894 2,414,947 7,244,842 3,622,421 10,867,264 5,433,632 2,716,816 1,358,408 679,204 339,602 169,801 509,404 254,702 127,351 382,054 191,027 573,082 286,541 859,624 429,812 214,906 107,453 322,360 161,180 80,590 40,295 120,886 60,443 181,330 90,665 271,996 135,998 67,999 203,998 101,999 305,998 152,999 458,998 229,499 688,498 344,249 1,032,748 516,374 258,187

More profiles

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