402,075

3² × 5² × 1787

402,075 factors as 3^2 × 5^2 × 1787. Its 18 positive divisors give a proper-divisor sum of 318,489, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 1787

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 720,564

Proper Divisor Sum 318,489

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #402071 ← → #402089

Radix Representation

Decimal	402075
Binary	1100010001010011011 (19 bits)
Octal	0o1421233
Hexadecimal	0x6229B

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 1,787 5,361 8,935 16,083 26,805 44,675 80,415 134,025 402,075

Collatz Trajectory (143 steps to reach 1)

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

402,075 1,206,226 603,113 1,809,340 904,670 452,335 1,357,006 678,503 2,035,510 1,017,755 3,053,266 1,526,633 4,579,900 2,289,950 1,144,975 3,434,926 1,717,463 5,152,390 2,576,195 7,728,586 3,864,293 11,592,880 5,796,440 2,898,220 1,449,110 724,555 2,173,666 1,086,833 3,260,500 1,630,250 815,125 2,445,376 1,222,688 611,344 305,672 152,836 76,418 38,209 114,628 57,314 28,657 85,972 42,986 21,493 64,480 32,240 16,120 8,060 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308

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