714,679

7 × 23² × 193

714,679 factors as 7 × 23^2 × 193. Its 12 positive divisors give a proper-divisor sum of 143,577, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 7 × 23^2 × 193

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 858,256

Proper Divisor Sum 143,577

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #714677 ← → #714691

Radix Representation

Decimal	714679
Binary	10101110011110110111 (20 bits)
Octal	0o2563667
Hexadecimal	0xAE7B7

Divisor Catalog (12)

1 7 23 161 193 529 1,351 3,703 4,439 31,073 102,097 714,679

Collatz Trajectory (149 steps to reach 1)

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

714,679 2,144,038 1,072,019 3,216,058 1,608,029 4,824,088 2,412,044 1,206,022 603,011 1,809,034 904,517 2,713,552 1,356,776 678,388 339,194 169,597 508,792 254,396 127,198 63,599 190,798 95,399 286,198 143,099 429,298 214,649 643,948 321,974 160,987 482,962 241,481 724,444 362,222 181,111 543,334 271,667 815,002 407,501 1,222,504 611,252 305,626 152,813 458,440 229,220 114,610 57,305 171,916 85,958 42,979 128,938 64,469 193,408 96,704 48,352 24,176 12,088 6,044 3,022 1,511 4,534

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