627,777

3³ × 23251

627,777 factors as 3^3 × 23251. Its 8 positive divisors give a proper-divisor sum of 302,303, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 3^3 × 23251

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 930,080

Proper Divisor Sum 302,303

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #627773 ← → #627787

Radix Representation

Decimal	627777
Binary	10011001010001000001 (20 bits)
Octal	0o2312101
Hexadecimal	0x99441

Divisor Catalog (8)

1 3 9 27 23,251 69,753 209,259 627,777

Collatz Trajectory (110 steps to reach 1)

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

627,777 1,883,332 941,666 470,833 1,412,500 706,250 353,125 1,059,376 529,688 264,844 132,422 66,211 198,634 99,317 297,952 148,976 74,488 37,244 18,622 9,311 27,934 13,967 41,902 20,951 62,854 31,427 94,282 47,141 141,424 70,712 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665

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