λ
Zalai Atlas

5,330,292

22 × 3 × 112 × 3671
Abundant Even Composite

5,330,292 has the prime decomposition 2^2 × 3 × 11^2 × 3671. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11^2 × 3671
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,674,528
Proper Divisor Sum 8,344,236
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5330251 ← → #5330293

Radix Representation

Decimal 5330292
Binary 10100010101010101110100 (23 bits)
Octal 0o24252564
Hexadecimal 0x515574

Divisor Catalog (36)

1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1,452 3,671 7,342 11,013 14,684 22,026 40,381 44,052 80,762 121,143 161,524 242,286 444,191 484,572 888,382 1,332,573 1,776,764 2,665,146 5,330,292

Collatz Trajectory (144 steps to reach 1)

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

5,330,292 2,665,146 1,332,573 3,997,720 1,998,860 999,430 499,715 1,499,146 749,573 2,248,720 1,124,360 562,180 281,090 140,545 421,636 210,818 105,409 316,228 158,114 79,057 237,172 118,586 59,293 177,880 88,940 44,470 22,235 66,706 33,353 100,060 50,030 25,015 75,046 37,523 112,570 56,285 168,856 84,428 42,214 21,107 63,322 31,661 94,984 47,492 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636

More profiles

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