627,236

2² × 233 × 673

627,236 factors as 2^2 × 233 × 673. Its 12 positive divisors give a proper-divisor sum of 476,776, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^2 × 233 × 673

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,104,012

Proper Divisor Sum 476,776

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #627227 ← → #627251

Radix Representation

Decimal	627236
Binary	10011001001000100100 (20 bits)
Octal	0o2311044
Hexadecimal	0x99224

Divisor Catalog (12)

1 2 4 233 466 673 932 1,346 2,692 156,809 313,618 627,236

Collatz Trajectory (203 steps to reach 1)

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

627,236 313,618 156,809 470,428 235,214 117,607 352,822 176,411 529,234 264,617 793,852 396,926 198,463 595,390 297,695 893,086 446,543 1,339,630 669,815 2,009,446 1,004,723 3,014,170 1,507,085 4,521,256 2,260,628 1,130,314 565,157 1,695,472 847,736 423,868 211,934 105,967 317,902 158,951 476,854 238,427 715,282 357,641 1,072,924 536,462 268,231 804,694 402,347 1,207,042 603,521 1,810,564 905,282 452,641 1,357,924 678,962 339,481 1,018,444 509,222 254,611 763,834 381,917 1,145,752 572,876 286,438 143,219

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