1,629,329

13² × 31 × 311

1,629,329 factors as 13^2 × 31 × 311. Its 12 positive divisors give a proper-divisor sum of 197,743, so this integer is deficient. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 13^2 × 31 × 311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,827,072

Proper Divisor Sum 197,743

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1629319 ← → #1629337

Radix Representation

Decimal	1629329
Binary	110001101110010010001 (21 bits)
Octal	0o6156221
Hexadecimal	0x18DC91

Divisor Catalog (12)

1 13 31 169 311 403 4,043 5,239 9,641 52,559 125,333 1,629,329

Collatz Trajectory (62 steps to reach 1)

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

1,629,329 4,887,988 2,443,994 1,221,997 3,665,992 1,832,996 916,498 458,249 1,374,748 687,374 343,687 1,031,062 515,531 1,546,594 773,297 2,319,892 1,159,946 579,973 1,739,920 869,960 434,980 217,490 108,745 326,236 163,118 81,559 244,678 122,339 367,018 183,509 550,528 275,264 137,632 68,816 34,408 17,204 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8

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