2,732,321

349 × 7829

2,732,321 has digital root 2. The neighboring primes are 2732311 and 2732329; its proper-divisor sum differs from the starting integer by -2,724,142.

Prime Factor Structure

Factorization String 349 × 7829

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,740,500

Proper Divisor Sum 8,179

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2732311 ← → #2732329

Radix Representation

Decimal	2732321
Binary	1010011011000100100001 (22 bits)
Octal	0o12330441
Hexadecimal	0x29B121

Divisor Catalog (4)

1 349 7,829 2,732,321

Collatz Trajectory (81 steps to reach 1)

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

2,732,321 8,196,964 4,098,482 2,049,241 6,147,724 3,073,862 1,536,931 4,610,794 2,305,397 6,916,192 3,458,096 1,729,048 864,524 432,262 216,131 648,394 324,197 972,592 486,296 243,148 121,574 60,787 182,362 91,181 273,544 136,772 68,386 34,193 102,580 51,290 25,645 76,936 38,468 19,234 9,617 28,852 14,426 7,213 21,640 10,820 5,410 2,705 8,116 4,058 2,029 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896

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