452,764

2² × 13 × 8707

For 452,764, the 12 positive divisors have a total of 853,384. Removing 452,764 leaves 400,620, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 13 × 8707

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 853,384

Proper Divisor Sum 400,620

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #452759 ← → #452773

Radix Representation

Decimal	452764
Binary	1101110100010011100 (19 bits)
Octal	0o1564234
Hexadecimal	0x6E89C

Divisor Catalog (12)

1 2 4 13 26 52 8,707 17,414 34,828 113,191 226,382 452,764

Collatz Trajectory (156 steps to reach 1)

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

452,764 226,382 113,191 339,574 169,787 509,362 254,681 764,044 382,022 191,011 573,034 286,517 859,552 429,776 214,888 107,444 53,722 26,861 80,584 40,292 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485

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