359,565

3 × 5 × 23971

359,565 factors as 3 × 5 × 23971. Its 8 positive divisors give a proper-divisor sum of 215,763, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 3 × 5 × 23971

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 575,328

Proper Divisor Sum 215,763

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #359563 ← → #359581

Radix Representation

Decimal	359565
Binary	1010111110010001101 (19 bits)
Octal	0o1276215
Hexadecimal	0x57C8D

Divisor Catalog (8)

1 3 5 15 23,971 71,913 119,855 359,565

Collatz Trajectory (166 steps to reach 1)

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

359,565 1,078,696 539,348 269,674 134,837 404,512 202,256 101,128 50,564 25,282 12,641 37,924 18,962 9,481 28,444 14,222 7,111 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282

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