λ
Integer Codex

325,213

72 × 6637
Deficient Odd Composite

For 325,213, the 6 positive divisors have a total of 378,366. Removing 325,213 leaves 53,153, which gives the deficient classification.

Prime Factor Structure

Factorization String 7^2 × 6637
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 378,366
Proper Divisor Sum 53,153
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #325201 ← → #325217

Radix Representation

Decimal 325213
Binary 1001111011001011101 (19 bits)
Octal 0o1173135
Hexadecimal 0x4F65D

Divisor Catalog (6)

1 7 49 6,637 46,459 325,213

Collatz Trajectory (140 steps to reach 1)

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

325,213 975,640 487,820 243,910 121,955 365,866 182,933 548,800 274,400 137,200 68,600 34,300 17,150 8,575 25,726 12,863 38,590 19,295 57,886 28,943 86,830 43,415 130,246 65,123 195,370 97,685 293,056 146,528 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350

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