321,616

2⁴ × 20101

321,616 factors as 2^4 × 20101. Its 10 positive divisors give a proper-divisor sum of 301,546, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^4 × 20101

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 623,162

Proper Divisor Sum 301,546

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #321611 ← → #321617

Radix Representation

Decimal	321616
Binary	1001110100001010000 (19 bits)
Octal	0o1164120
Hexadecimal	0x4E850

Divisor Catalog (10)

1 2 4 8 16 20,101 40,202 80,404 160,808 321,616

Collatz Trajectory (122 steps to reach 1)

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

321,616 160,808 80,404 40,202 20,101 60,304 30,152 15,076 7,538 3,769 11,308 5,654 2,827 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045

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