7,296,144

2⁴ × 3 × 152003

7,296,144 has the prime decomposition 2^4 × 3 × 152003. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 152003

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 18,848,496

Proper Divisor Sum 11,552,352

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7296127 ← → #7296161

Radix Representation

Decimal	7296144
Binary	11011110101010010010000 (23 bits)
Octal	0o33652220
Hexadecimal	0x6F5490

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 152,003 304,006 456,009 608,012 912,018 1,216,024 1,824,036 2,432,048 3,648,072 7,296,144

Collatz Trajectory (341 steps to reach 1)

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

7,296,144 3,648,072 1,824,036 912,018 456,009 1,368,028 684,014 342,007 1,026,022 513,011 1,539,034 769,517 2,308,552 1,154,276 577,138 288,569 865,708 432,854 216,427 649,282 324,641 973,924 486,962 243,481 730,444 365,222 182,611 547,834 273,917 821,752 410,876 205,438 102,719 308,158 154,079 462,238 231,119 693,358 346,679 1,040,038 520,019 1,560,058 780,029 2,340,088 1,170,044 585,022 292,511 877,534 438,767 1,316,302 658,151 1,974,454 987,227 2,961,682 1,480,841 4,442,524 2,221,262 1,110,631 3,331,894 1,665,947

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