88,353

3² × 9817

88,353 factors as 3^2 × 9817. Its 6 positive divisors give a proper-divisor sum of 39,281, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 3^2 × 9817

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 127,634

Proper Divisor Sum 39,281

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #88339 ← → #88379

Radix Representation

Decimal	88353
Binary	10101100100100001 (17 bits)
Octal	0o254441
Hexadecimal	0x15921

Divisor Catalog (6)

1 3 9 9,817 29,451 88,353

Collatz Trajectory (164 steps to reach 1)

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

88,353 265,060 132,530 66,265 198,796 99,398 49,699 149,098 74,549 223,648 111,824 55,912 27,956 13,978 6,989 20,968 10,484 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 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94

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