402,202

2 × 201101

402,202 factors as 2 × 201101. Its 4 positive divisors give a proper-divisor sum of 201,104, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2 × 201101

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 603,306

Proper Divisor Sum 201,104

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #402197 ← → #402221

Radix Representation

Decimal	402202
Binary	1100010001100011010 (19 bits)
Octal	0o1421432
Hexadecimal	0x6231A

Divisor Catalog (4)

1 2 201,101 402,202

Collatz Trajectory (161 steps to reach 1)

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

402,202 201,101 603,304 301,652 150,826 75,413 226,240 113,120 56,560 28,280 14,140 7,070 3,535 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71

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