λ
Zalai Atlas

5,448,303

35 × 7 × 3203
Deficient Odd Composite

5,448,303 has the prime decomposition 3^5 × 7 × 3203. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 7 × 3203
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,330,048
Proper Divisor Sum 3,881,745
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5448293 ← → #5448319

Radix Representation

Decimal 5448303
Binary 10100110010001001101111 (23 bits)
Octal 0o24621157
Hexadecimal 0x53226F

Divisor Catalog (24)

1 3 7 9 21 27 63 81 189 243 567 1,701 3,203 9,609 22,421 28,827 67,263 86,481 201,789 259,443 605,367 778,329 1,816,101 5,448,303

Collatz Trajectory (232 steps to reach 1)

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

5,448,303 16,344,910 8,172,455 24,517,366 12,258,683 36,776,050 18,388,025 55,164,076 27,582,038 13,791,019 41,373,058 20,686,529 62,059,588 31,029,794 15,514,897 46,544,692 23,272,346 11,636,173 34,908,520 17,454,260 8,727,130 4,363,565 13,090,696 6,545,348 3,272,674 1,636,337 4,909,012 2,454,506 1,227,253 3,681,760 1,840,880 920,440 460,220 230,110 115,055 345,166 172,583 517,750 258,875 776,626 388,313 1,164,940 582,470 291,235 873,706 436,853 1,310,560 655,280 327,640 163,820 81,910 40,955 122,866 61,433 184,300 92,150 46,075 138,226 69,113 207,340

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