λ
Zalai Atlas

7,245,232

24 × 19 × 23833
Abundant Even Composite

7,245,232 has the prime decomposition 2^4 × 19 × 23833. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 19 × 23833
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 14,777,080
Proper Divisor Sum 7,531,848
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7245209 ← → #7245239

Radix Representation

Decimal 7245232
Binary 11011101000110110110000 (23 bits)
Octal 0o33506660
Hexadecimal 0x6E8DB0

Divisor Catalog (20)

1 2 4 8 16 19 38 76 152 304 23,833 47,666 95,332 190,664 381,328 452,827 905,654 1,811,308 3,622,616 7,245,232

Collatz Trajectory (142 steps to reach 1)

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

7,245,232 3,622,616 1,811,308 905,654 452,827 1,358,482 679,241 2,037,724 1,018,862 509,431 1,528,294 764,147 2,292,442 1,146,221 3,438,664 1,719,332 859,666 429,833 1,289,500 644,750 322,375 967,126 483,563 1,450,690 725,345 2,176,036 1,088,018 544,009 1,632,028 816,014 408,007 1,224,022 612,011 1,836,034 918,017 2,754,052 1,377,026 688,513 2,065,540 1,032,770 516,385 1,549,156 774,578 387,289 1,161,868 580,934 290,467 871,402 435,701 1,307,104 653,552 326,776 163,388 81,694 40,847 122,542 61,271 183,814 91,907 275,722

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