λ
Prime Ledger

3,732,743

7 × 533249
Deficient Odd Composite

3,732,743 has the prime decomposition 7 × 533249. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 533249
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,266,000
Proper Divisor Sum 533,257
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3732727 ← → #3732761

Radix Representation

Decimal 3732743
Binary 1110001111010100000111 (22 bits)
Octal 0o16172407
Hexadecimal 0x38F507

Divisor Catalog (4)

1 7 533,249 3,732,743

Collatz Trajectory (247 steps to reach 1)

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

3,732,743 11,198,230 5,599,115 16,797,346 8,398,673 25,196,020 12,598,010 6,299,005 18,897,016 9,448,508 4,724,254 2,362,127 7,086,382 3,543,191 10,629,574 5,314,787 15,944,362 7,972,181 23,916,544 11,958,272 5,979,136 2,989,568 1,494,784 747,392 373,696 186,848 93,424 46,712 23,356 11,678 5,839 17,518 8,759 26,278 13,139 39,418 19,709 59,128 29,564 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947

More profiles

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