792,752

2⁴ × 49547

For 792,752, the 10 positive divisors have a total of 1,535,988. Removing 792,752 leaves 743,236, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^4 × 49547

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 1,535,988

Proper Divisor Sum 743,236

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #792751 ← → #792769

Radix Representation

Decimal	792752
Binary	11000001100010110000 (20 bits)
Octal	0o3014260
Hexadecimal	0xC18B0

Divisor Catalog (10)

1 2 4 8 16 49,547 99,094 198,188 396,376 792,752

Collatz Trajectory (162 steps to reach 1)

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

792,752 396,376 198,188 99,094 49,547 148,642 74,321 222,964 111,482 55,741 167,224 83,612 41,806 20,903 62,710 31,355 94,066 47,033 141,100 70,550 35,275 105,826 52,913 158,740 79,370 39,685 119,056 59,528 29,764 14,882 7,441 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142

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