1,731,327

3 × 13 × 103 × 431

1,731,327 has the prime decomposition 3 × 13 × 103 × 431. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 103 × 431

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,515,968

Proper Divisor Sum 784,641

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1731313 ← → #1731349

Radix Representation

Decimal	1731327
Binary	110100110101011111111 (21 bits)
Octal	0o6465377
Hexadecimal	0x1A6AFF

Divisor Catalog (16)

1 3 13 39 103 309 431 1,293 1,339 4,017 5,603 16,809 44,393 133,179 577,109 1,731,327

Collatz Trajectory (101 steps to reach 1)

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

1,731,327 5,193,982 2,596,991 7,790,974 3,895,487 11,686,462 5,843,231 17,529,694 8,764,847 26,294,542 13,147,271 39,441,814 19,720,907 59,162,722 29,581,361 88,744,084 44,372,042 22,186,021 66,558,064 33,279,032 16,639,516 8,319,758 4,159,879 12,479,638 6,239,819 18,719,458 9,359,729 28,079,188 14,039,594 7,019,797 21,059,392 10,529,696 5,264,848 2,632,424 1,316,212 658,106 329,053 987,160 493,580 246,790 123,395 370,186 185,093 555,280 277,640 138,820 69,410 34,705 104,116 52,058 26,029 78,088 39,044 19,522 9,761 29,284 14,642 7,321 21,964 10,982

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