873,789

3 × 7 × 41609

873,789 factors as 3 × 7 × 41609. Its 8 positive divisors give a proper-divisor sum of 457,731, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 3 × 7 × 41609

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,331,520

Proper Divisor Sum 457,731

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #873787 ← → #873863

Radix Representation

Decimal	873789
Binary	11010101010100111101 (20 bits)
Octal	0o3252475
Hexadecimal	0xD553D

Divisor Catalog (8)

1 3 7 21 41,609 124,827 291,263 873,789

Collatz Trajectory (126 steps to reach 1)

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

873,789 2,621,368 1,310,684 655,342 327,671 983,014 491,507 1,474,522 737,261 2,211,784 1,105,892 552,946 276,473 829,420 414,710 207,355 622,066 311,033 933,100 466,550 233,275 699,826 349,913 1,049,740 524,870 262,435 787,306 393,653 1,180,960 590,480 295,240 147,620 73,810 36,905 110,716 55,358 27,679 83,038 41,519 124,558 62,279 186,838 93,419 280,258 140,129 420,388 210,194 105,097 315,292 157,646 78,823 236,470 118,235 354,706 177,353 532,060 266,030 133,015 399,046 199,523

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