785,409

3 × 97 × 2699

785,409 factors as 3 × 97 × 2699. Its 8 positive divisors give a proper-divisor sum of 272,991, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 3 × 97 × 2699

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,058,400

Proper Divisor Sum 272,991

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #785377 ← → #785413

Radix Representation

Decimal	785409
Binary	10111111110000000001 (20 bits)
Octal	0o2776001
Hexadecimal	0xBFC01

Divisor Catalog (8)

1 3 97 291 2,699 8,097 261,803 785,409

Collatz Trajectory (74 steps to reach 1)

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

785,409 2,356,228 1,178,114 589,057 1,767,172 883,586 441,793 1,325,380 662,690 331,345 994,036 497,018 248,509 745,528 372,764 186,382 93,191 279,574 139,787 419,362 209,681 629,044 314,522 157,261 471,784 235,892 117,946 58,973 176,920 88,460 44,230 22,115 66,346 33,173 99,520 49,760 24,880 12,440 6,220 3,110 1,555 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832

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