1,723,329

3³ × 83 × 769

1,723,329 has the prime decomposition 3^3 × 83 × 769. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 83 × 769

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,587,200

Proper Divisor Sum 863,871

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1723327 ← → #1723333

Radix Representation

Decimal	1723329
Binary	110100100101111000001 (21 bits)
Octal	0o6445701
Hexadecimal	0x1A4BC1

Divisor Catalog (16)

1 3 9 27 83 249 747 769 2,241 2,307 6,921 20,763 63,827 191,481 574,443 1,723,329

Collatz Trajectory (158 steps to reach 1)

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

1,723,329 5,169,988 2,584,994 1,292,497 3,877,492 1,938,746 969,373 2,908,120 1,454,060 727,030 363,515 1,090,546 545,273 1,635,820 817,910 408,955 1,226,866 613,433 1,840,300 920,150 460,075 1,380,226 690,113 2,070,340 1,035,170 517,585 1,552,756 776,378 388,189 1,164,568 582,284 291,142 145,571 436,714 218,357 655,072 327,536 163,768 81,884 40,942 20,471 61,414 30,707 92,122 46,061 138,184 69,092 34,546 17,273 51,820 25,910 12,955 38,866 19,433 58,300 29,150 14,575 43,726 21,863 65,590

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