678,535

5 × 11 × 13² × 73

678,535 factors as 5 × 11 × 13^2 × 73. Its 24 positive divisors give a proper-divisor sum of 296,489, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 5 × 11 × 13^2 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 975,024

Proper Divisor Sum 296,489

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #678533 ← → #678541

Radix Representation

Decimal	678535
Binary	10100101101010000111 (20 bits)
Octal	0o2455207
Hexadecimal	0xA5A87

Divisor Catalog (24)

1 5 11 13 55 65 73 143 169 365 715 803 845 949 1,859 4,015 4,745 9,295 10,439 12,337 52,195 61,685 135,707 678,535

Collatz Trajectory (136 steps to reach 1)

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

678,535 2,035,606 1,017,803 3,053,410 1,526,705 4,580,116 2,290,058 1,145,029 3,435,088 1,717,544 858,772 429,386 214,693 644,080 322,040 161,020 80,510 40,255 120,766 60,383 181,150 90,575 271,726 135,863 407,590 203,795 611,386 305,693 917,080 458,540 229,270 114,635 343,906 171,953 515,860 257,930 128,965 386,896 193,448 96,724 48,362 24,181 72,544 36,272 18,136 9,068 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306

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