678,201

3 × 23 × 9829

678,201 factors as 3 × 23 × 9829. Its 8 positive divisors give a proper-divisor sum of 265,479, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 3 × 23 × 9829

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 943,680

Proper Divisor Sum 265,479

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #678199 ← → #678203

Radix Representation

Decimal	678201
Binary	10100101100100111001 (20 bits)
Octal	0o2454471
Hexadecimal	0xA5939

Divisor Catalog (8)

1 3 23 69 9,829 29,487 226,067 678,201

Collatz Trajectory (136 steps to reach 1)

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

678,201 2,034,604 1,017,302 508,651 1,525,954 762,977 2,288,932 1,144,466 572,233 1,716,700 858,350 429,175 1,287,526 643,763 1,931,290 965,645 2,896,936 1,448,468 724,234 362,117 1,086,352 543,176 271,588 135,794 67,897 203,692 101,846 50,923 152,770 76,385 229,156 114,578 57,289 171,868 85,934 42,967 128,902 64,451 193,354 96,677 290,032 145,016 72,508 36,254 18,127 54,382 27,191 81,574 40,787 122,362 61,181 183,544 91,772 45,886 22,943 68,830 34,415 103,246 51,623 154,870

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