678,205

5 × 11² × 19 × 59

678,205 factors as 5 × 11^2 × 19 × 59. Its 24 positive divisors give a proper-divisor sum of 279,395, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 5 × 11^2 × 19 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 957,600

Proper Divisor Sum 279,395

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #678203 ← → #678211

Radix Representation

Decimal	678205
Binary	10100101100100111101 (20 bits)
Octal	0o2454475
Hexadecimal	0xA593D

Divisor Catalog (24)

Collatz Trajectory (167 steps to reach 1)

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

678,205 2,034,616 1,017,308 508,654 254,327 762,982 381,491 1,144,474 572,237 1,716,712 858,356 429,178 214,589 643,768 321,884 160,942 80,471 241,414 120,707 362,122 181,061 543,184 271,592 135,796 67,898 33,949 101,848 50,924 25,462 12,731 38,194 19,097 57,292 28,646 14,323 42,970 21,485 64,456 32,228 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303

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