206,398

2 × 31 × 3329

206,398 has digital root 1. The neighboring primes are 206383 and 206399; its proper-divisor sum differs from the starting integer by -93,116.

Prime Factor Structure

Factorization String 2 × 31 × 3329

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 319,680

Proper Divisor Sum 113,282

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #206383 ← → #206399

Radix Representation

Decimal	206398
Binary	110010011000111110 (18 bits)
Octal	0o623076
Hexadecimal	0x3263E

Divisor Catalog (8)

1 2 31 62 3,329 6,658 103,199 206,398

Collatz Trajectory (204 steps to reach 1)

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

206,398 103,199 309,598 154,799 464,398 232,199 696,598 348,299 1,044,898 522,449 1,567,348 783,674 391,837 1,175,512 587,756 293,878 146,939 440,818 220,409 661,228 330,614 165,307 495,922 247,961 743,884 371,942 185,971 557,914 278,957 836,872 418,436 209,218 104,609 313,828 156,914 78,457 235,372 117,686 58,843 176,530 88,265 264,796 132,398 66,199 198,598 99,299 297,898 148,949 446,848 223,424 111,712 55,856 27,928 13,964 6,982 3,491 10,474 5,237 15,712 7,856

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