λ
Prime Ledger

9,437,493

3 × 13 × 61 × 3967
Deficient Odd Composite

9,437,493 has the prime decomposition 3 × 13 × 61 × 3967. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 61 × 3967
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,776,896
Proper Divisor Sum 4,339,403
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9437489 ← → #9437579

Radix Representation

Decimal 9437493
Binary 100100000000000100110101 (24 bits)
Octal 0o44000465
Hexadecimal 0x900135

Divisor Catalog (16)

1 3 13 39 61 183 793 2,379 3,967 11,901 51,571 154,713 241,987 725,961 3,145,831 9,437,493

Collatz Trajectory (101 steps to reach 1)

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

9,437,493 28,312,480 14,156,240 7,078,120 3,539,060 1,769,530 884,765 2,654,296 1,327,148 663,574 331,787 995,362 497,681 1,493,044 746,522 373,261 1,119,784 559,892 279,946 139,973 419,920 209,960 104,980 52,490 26,245 78,736 39,368 19,684 9,842 4,921 14,764 7,382 3,691 11,074 5,537 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278

More profiles

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