627,129

3³ × 23227

627,129 factors as 3^3 × 23227. Its 8 positive divisors give a proper-divisor sum of 301,991, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 3^3 × 23227

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 929,120

Proper Divisor Sum 301,991

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #627119 ← → #627131

Radix Representation

Decimal	627129
Binary	10011001000110111001 (20 bits)
Octal	0o2310671
Hexadecimal	0x991B9

Divisor Catalog (8)

1 3 9 27 23,227 69,681 209,043 627,129

Collatz Trajectory (203 steps to reach 1)

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

627,129 1,881,388 940,694 470,347 1,411,042 705,521 2,116,564 1,058,282 529,141 1,587,424 793,712 396,856 198,428 99,214 49,607 148,822 74,411 223,234 111,617 334,852 167,426 83,713 251,140 125,570 62,785 188,356 94,178 47,089 141,268 70,634 35,317 105,952 52,976 26,488 13,244 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248

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