441,475

5² × 17659

441,475 has digital root 7. The neighboring primes are 441461 and 441479; its proper-divisor sum differs from the starting integer by -335,490.

Prime Factor Structure

Factorization String 5^2 × 17659

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 547,460

Proper Divisor Sum 105,985

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #441461 ← → #441479

Radix Representation

Decimal	441475
Binary	1101011110010000011 (19 bits)
Octal	0o1536203
Hexadecimal	0x6BC83

Divisor Catalog (6)

1 5 25 17,659 88,295 441,475

Collatz Trajectory (63 steps to reach 1)

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

441,475 1,324,426 662,213 1,986,640 993,320 496,660 248,330 124,165 372,496 186,248 93,124 46,562 23,281 69,844 34,922 17,461 52,384 26,192 13,096 6,548 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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