λ
Prime Ledger

3,797,591

7 × 113 × 4801
Deficient Odd Composite

3,797,591 has the prime decomposition 7 × 113 × 4801. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 113 × 4801
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,379,424
Proper Divisor Sum 581,833
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3797567 ← → #3797597

Radix Representation

Decimal 3797591
Binary 1110011111001001010111 (22 bits)
Octal 0o16371127
Hexadecimal 0x39F257

Divisor Catalog (8)

1 7 113 791 4,801 33,607 542,513 3,797,591

Collatz Trajectory (110 steps to reach 1)

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

3,797,591 11,392,774 5,696,387 17,089,162 8,544,581 25,633,744 12,816,872 6,408,436 3,204,218 1,602,109 4,806,328 2,403,164 1,201,582 600,791 1,802,374 901,187 2,703,562 1,351,781 4,055,344 2,027,672 1,013,836 506,918 253,459 760,378 380,189 1,140,568 570,284 285,142 142,571 427,714 213,857 641,572 320,786 160,393 481,180 240,590 120,295 360,886 180,443 541,330 270,665 811,996 405,998 202,999 608,998 304,499 913,498 456,749 1,370,248 685,124 342,562 171,281 513,844 256,922 128,461 385,384 192,692 96,346 48,173 144,520

More profiles

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