8,292,009

3 × 11² × 53 × 431

8,292,009 has the prime decomposition 3 × 11^2 × 53 × 431. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 11^2 × 53 × 431

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,410,496

Proper Divisor Sum 4,118,487

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8292001 ← → #8292017

Radix Representation

Decimal	8292009
Binary	11111101000011010101001 (23 bits)
Octal	0o37503251
Hexadecimal	0x7E86A9

Divisor Catalog (24)

1 3 11 33 53 121 159 363 431 583 1,293 1,749 4,741 6,413 14,223 19,239 22,843 52,151 68,529 156,453 251,273 753,819 2,764,003 8,292,009

Collatz Trajectory (160 steps to reach 1)

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

8,292,009 24,876,028 12,438,014 6,219,007 18,657,022 9,328,511 27,985,534 13,992,767 41,978,302 20,989,151 62,967,454 31,483,727 94,451,182 47,225,591 141,676,774 70,838,387 212,515,162 106,257,581 318,772,744 159,386,372 79,693,186 39,846,593 119,539,780 59,769,890 29,884,945 89,654,836 44,827,418 22,413,709 67,241,128 33,620,564 16,810,282 8,405,141 25,215,424 12,607,712 6,303,856 3,151,928 1,575,964 787,982 393,991 1,181,974 590,987 1,772,962 886,481 2,659,444 1,329,722 664,861 1,994,584 997,292 498,646 249,323 747,970 373,985 1,121,956 560,978 280,489 841,468 420,734 210,367 631,102 315,551

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