364,635

3³ × 5 × 37 × 73

364,635 is odd and not a perfect square. Its factorization is 3^3 × 5 × 37 × 73 and its 32 divisors sum to 674,880.

Prime Factor Structure

Factorization String 3^3 × 5 × 37 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 674,880

Proper Divisor Sum 310,245

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #364627 ← → #364643

Radix Representation

Decimal	364635
Binary	1011001000001011011 (19 bits)
Octal	0o1310133
Hexadecimal	0x5905B

Divisor Catalog (32)

1 3 5 9 15 27 37 45 73 111 135 185 219 333 365 555 657 999 1,095 1,665 1,971 2,701 3,285 4,995 8,103 9,855 13,505 24,309 40,515 72,927 121,545 364,635

Collatz Trajectory (179 steps to reach 1)

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

364,635 1,093,906 546,953 1,640,860 820,430 410,215 1,230,646 615,323 1,845,970 922,985 2,768,956 1,384,478 692,239 2,076,718 1,038,359 3,115,078 1,557,539 4,672,618 2,336,309 7,008,928 3,504,464 1,752,232 876,116 438,058 219,029 657,088 328,544 164,272 82,136 41,068 20,534 10,267 30,802 15,401 46,204 23,102 11,551 34,654 17,327 51,982 25,991 77,974 38,987 116,962 58,481 175,444 87,722 43,861 131,584 65,792 32,896 16,448 8,224 4,112 2,056 1,028 514 257 772 386

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