λ
Prime Ledger

5,833,332

22 × 32 × 31 × 5227
Abundant Even Composite

5,833,332 has the prime decomposition 2^2 × 3^2 × 31 × 5227. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 31 × 5227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 15,223,936
Proper Divisor Sum 9,390,604
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5833277 ← → #5833349

Radix Representation

Decimal 5833332
Binary 10110010000001001110100 (23 bits)
Octal 0o26201164
Hexadecimal 0x590274

Divisor Catalog (36)

1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1,116 5,227 10,454 15,681 20,908 31,362 47,043 62,724 94,086 162,037 188,172 324,074 486,111 648,148 972,222 1,458,333 1,944,444 2,916,666 5,833,332

Collatz Trajectory (95 steps to reach 1)

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

5,833,332 2,916,666 1,458,333 4,375,000 2,187,500 1,093,750 546,875 1,640,626 820,313 2,460,940 1,230,470 615,235 1,845,706 922,853 2,768,560 1,384,280 692,140 346,070 173,035 519,106 259,553 778,660 389,330 194,665 583,996 291,998 145,999 437,998 218,999 656,998 328,499 985,498 492,749 1,478,248 739,124 369,562 184,781 554,344 277,172 138,586 69,293 207,880 103,940 51,970 25,985 77,956 38,978 19,489 58,468 29,234 14,617 43,852 21,926 10,963 32,890 16,445 49,336 24,668 12,334 6,167

More profiles

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