435,855

3 × 5 × 7² × 593

435,855 factors as 3 × 5 × 7^2 × 593. Its 24 positive divisors give a proper-divisor sum of 376,737, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 593

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 812,592

Proper Divisor Sum 376,737

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #435847 ← → #435857

Radix Representation

Decimal	435855
Binary	1101010011010001111 (19 bits)
Octal	0o1523217
Hexadecimal	0x6A68F

Divisor Catalog (24)

1 3 5 7 15 21 35 49 105 147 245 593 735 1,779 2,965 4,151 8,895 12,453 20,755 29,057 62,265 87,171 145,285 435,855

Collatz Trajectory (187 steps to reach 1)

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

435,855 1,307,566 653,783 1,961,350 980,675 2,942,026 1,471,013 4,413,040 2,206,520 1,103,260 551,630 275,815 827,446 413,723 1,241,170 620,585 1,861,756 930,878 465,439 1,396,318 698,159 2,094,478 1,047,239 3,141,718 1,570,859 4,712,578 2,356,289 7,068,868 3,534,434 1,767,217 5,301,652 2,650,826 1,325,413 3,976,240 1,988,120 994,060 497,030 248,515 745,546 372,773 1,118,320 559,160 279,580 139,790 69,895 209,686 104,843 314,530 157,265 471,796 235,898 117,949 353,848 176,924 88,462 44,231 132,694 66,347 199,042 99,521

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