4,198,609

17 × 31² × 257

4,198,609 factors as 17 × 31^2 × 257. Its 12 positive divisors give a proper-divisor sum of 412,883, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 17 × 31^2 × 257

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,611,492

Proper Divisor Sum 412,883

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4198583 ← → #4198631

Radix Representation

Decimal	4198609
Binary	10000000001000011010001 (23 bits)
Octal	0o20010321
Hexadecimal	0x4010D1

Divisor Catalog (12)

1 17 31 257 527 961 4,369 7,967 16,337 135,439 246,977 4,198,609

Collatz Trajectory (229 steps to reach 1)

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

4,198,609 12,595,828 6,297,914 3,148,957 9,446,872 4,723,436 2,361,718 1,180,859 3,542,578 1,771,289 5,313,868 2,656,934 1,328,467 3,985,402 1,992,701 5,978,104 2,989,052 1,494,526 747,263 2,241,790 1,120,895 3,362,686 1,681,343 5,044,030 2,522,015 7,566,046 3,783,023 11,349,070 5,674,535 17,023,606 8,511,803 25,535,410 12,767,705 38,303,116 19,151,558 9,575,779 28,727,338 14,363,669 43,091,008 21,545,504 10,772,752 5,386,376 2,693,188 1,346,594 673,297 2,019,892 1,009,946 504,973 1,514,920 757,460 378,730 189,365 568,096 284,048 142,024 71,012 35,506 17,753 53,260 26,630

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