441,133

7 × 11 × 17 × 337

441,133 factors as 7 × 11 × 17 × 337. Its 16 positive divisors give a proper-divisor sum of 142,931, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 7 × 11 × 17 × 337

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 584,064

Proper Divisor Sum 142,931

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #441127 ← → #441157

Radix Representation

Decimal	441133
Binary	1101011101100101101 (19 bits)
Octal	0o1535455
Hexadecimal	0x6BB2D

Divisor Catalog (16)

1 7 11 17 77 119 187 337 1,309 2,359 3,707 5,729 25,949 40,103 63,019 441,133

Collatz Trajectory (187 steps to reach 1)

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

441,133 1,323,400 661,700 330,850 165,425 496,276 248,138 124,069 372,208 186,104 93,052 46,526 23,263 69,790 34,895 104,686 52,343 157,030 78,515 235,546 117,773 353,320 176,660 88,330 44,165 132,496 66,248 33,124 16,562 8,281 24,844 12,422 6,211 18,634 9,317 27,952 13,976 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806

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