629,358

2 × 3 × 29 × 3617

629,358 factors as 2 × 3 × 29 × 3617. Its 16 positive divisors give a proper-divisor sum of 673,122, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 3617

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,302,480

Proper Divisor Sum 673,122

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #629351 ← → #629371

Radix Representation

Decimal	629358
Binary	10011001101001101110 (20 bits)
Octal	0o2315156
Hexadecimal	0x99A6E

Divisor Catalog (16)

1 2 3 6 29 58 87 174 3,617 7,234 10,851 21,702 104,893 209,786 314,679 629,358

Collatz Trajectory (110 steps to reach 1)

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

629,358 314,679 944,038 472,019 1,416,058 708,029 2,124,088 1,062,044 531,022 265,511 796,534 398,267 1,194,802 597,401 1,792,204 896,102 448,051 1,344,154 672,077 2,016,232 1,008,116 504,058 252,029 756,088 378,044 189,022 94,511 283,534 141,767 425,302 212,651 637,954 318,977 956,932 478,466 239,233 717,700 358,850 179,425 538,276 269,138 134,569 403,708 201,854 100,927 302,782 151,391 454,174 227,087 681,262 340,631 1,021,894 510,947 1,532,842 766,421 2,299,264 1,149,632 574,816 287,408 143,704

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