1,793,097

3⁵ × 47 × 157

1,793,097 factors as 3^5 × 47 × 157. Its 24 positive divisors give a proper-divisor sum of 967,479, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 3^5 × 47 × 157

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,760,576

Proper Divisor Sum 967,479

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1793081 ← → #1793101

Radix Representation

Decimal	1793097
Binary	110110101110001001001 (21 bits)
Octal	0o6656111
Hexadecimal	0x1B5C49

Divisor Catalog (24)

1 3 9 27 47 81 141 157 243 423 471 1,269 1,413 3,807 4,239 7,379 11,421 12,717 22,137 38,151 66,411 199,233 597,699 1,793,097

Collatz Trajectory (127 steps to reach 1)

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

1,793,097 5,379,292 2,689,646 1,344,823 4,034,470 2,017,235 6,051,706 3,025,853 9,077,560 4,538,780 2,269,390 1,134,695 3,404,086 1,702,043 5,106,130 2,553,065 7,659,196 3,829,598 1,914,799 5,744,398 2,872,199 8,616,598 4,308,299 12,924,898 6,462,449 19,387,348 9,693,674 4,846,837 14,540,512 7,270,256 3,635,128 1,817,564 908,782 454,391 1,363,174 681,587 2,044,762 1,022,381 3,067,144 1,533,572 766,786 383,393 1,150,180 575,090 287,545 862,636 431,318 215,659 646,978 323,489 970,468 485,234 242,617 727,852 363,926 181,963 545,890 272,945 818,836 409,418

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