701,823

3 × 233941

For 701,823, the 4 positive divisors have a total of 935,768. Removing 701,823 leaves 233,945, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 233941

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 935,768

Proper Divisor Sum 233,945

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #701819 ← → #701837

Radix Representation

Decimal	701823
Binary	10101011010101111111 (20 bits)
Octal	0o2532577
Hexadecimal	0xAB57F

Divisor Catalog (4)

1 3 233,941 701,823

Collatz Trajectory (154 steps to reach 1)

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

701,823 2,105,470 1,052,735 3,158,206 1,579,103 4,737,310 2,368,655 7,105,966 3,552,983 10,658,950 5,329,475 15,988,426 7,994,213 23,982,640 11,991,320 5,995,660 2,997,830 1,498,915 4,496,746 2,248,373 6,745,120 3,372,560 1,686,280 843,140 421,570 210,785 632,356 316,178 158,089 474,268 237,134 118,567 355,702 177,851 533,554 266,777 800,332 400,166 200,083 600,250 300,125 900,376 450,188 225,094 112,547 337,642 168,821 506,464 253,232 126,616 63,308 31,654 15,827 47,482 23,741 71,224 35,612 17,806 8,903 26,710

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