792,889

19 × 29 × 1439

792,889 factors as 19 × 29 × 1439. Its 8 positive divisors give a proper-divisor sum of 71,111, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 19 × 29 × 1439

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 864,000

Proper Divisor Sum 71,111

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #792881 ← → #792893

Radix Representation

Decimal	792889
Binary	11000001100100111001 (20 bits)
Octal	0o3014471
Hexadecimal	0xC1939

Divisor Catalog (8)

1 19 29 551 1,439 27,341 41,731 792,889

Collatz Trajectory (162 steps to reach 1)

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

792,889 2,378,668 1,189,334 594,667 1,784,002 892,001 2,676,004 1,338,002 669,001 2,007,004 1,003,502 501,751 1,505,254 752,627 2,257,882 1,128,941 3,386,824 1,693,412 846,706 423,353 1,270,060 635,030 317,515 952,546 476,273 1,428,820 714,410 357,205 1,071,616 535,808 267,904 133,952 66,976 33,488 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142

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