677,977

17 × 19 × 2099

677,977 factors as 17 × 19 × 2099. Its 8 positive divisors give a proper-divisor sum of 78,023, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 17 × 19 × 2099

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 756,000

Proper Divisor Sum 78,023

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #677959 ← → #677983

Radix Representation

Decimal	677977
Binary	10100101100001011001 (20 bits)
Octal	0o2454131
Hexadecimal	0xA5859

Divisor Catalog (8)

1 17 19 323 2,099 35,683 39,881 677,977

Collatz Trajectory (110 steps to reach 1)

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

677,977 2,033,932 1,016,966 508,483 1,525,450 762,725 2,288,176 1,144,088 572,044 286,022 143,011 429,034 214,517 643,552 321,776 160,888 80,444 40,222 20,111 60,334 30,167 90,502 45,251 135,754 67,877 203,632 101,816 50,908 25,454 12,727 38,182 19,091 57,274 28,637 85,912 42,956 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718

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