773,620

2² × 5 × 47 × 823

773,620 has the prime decomposition 2^2 × 5 × 47 × 823. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 47 × 823

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,661,184

Proper Divisor Sum 887,564

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #773611 ← → #773657

Radix Representation

Decimal	773620
Binary	10111100110111110100 (20 bits)
Octal	0o2746764
Hexadecimal	0xBCDF4

Divisor Catalog (24)

1 2 4 5 10 20 47 94 188 235 470 823 940 1,646 3,292 4,115 8,230 16,460 38,681 77,362 154,724 193,405 386,810 773,620

Collatz Trajectory (87 steps to reach 1)

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

773,620 386,810 193,405 580,216 290,108 145,054 72,527 217,582 108,791 326,374 163,187 489,562 244,781 734,344 367,172 183,586 91,793 275,380 137,690 68,845 206,536 103,268 51,634 25,817 77,452 38,726 19,363 58,090 29,045 87,136 43,568 21,784 10,892 5,446 2,723 8,170 4,085 12,256 6,128 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820

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