λ
Integer Codex

4,824,642

2 × 3 × 804107
Abundant Even Composite

For 4,824,642, the 8 positive divisors have a total of 9,649,296. Removing 4,824,642 leaves 4,824,654, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 804107
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,649,296
Proper Divisor Sum 4,824,654
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4824629 ← → #4824647

Radix Representation

Decimal 4824642
Binary 10010011001111001000010 (23 bits)
Octal 0o22317102
Hexadecimal 0x499E42

Divisor Catalog (8)

1 2 3 6 804,107 1,608,214 2,412,321 4,824,642

Collatz Trajectory (144 steps to reach 1)

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

4,824,642 2,412,321 7,236,964 3,618,482 1,809,241 5,427,724 2,713,862 1,356,931 4,070,794 2,035,397 6,106,192 3,053,096 1,526,548 763,274 381,637 1,144,912 572,456 286,228 143,114 71,557 214,672 107,336 53,668 26,834 13,417 40,252 20,126 10,063 30,190 15,095 45,286 22,643 67,930 33,965 101,896 50,948 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617

More profiles

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