4,678,276

2² × 137 × 8537

For 4,678,276, the 12 positive divisors have a total of 8,247,708. Removing 4,678,276 leaves 3,569,432, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 137 × 8537

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,247,708

Proper Divisor Sum 3,569,432

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #4678259 ← → #4678283

Radix Representation

Decimal	4678276
Binary	10001110110001010000100 (23 bits)
Octal	0o21661204
Hexadecimal	0x476284

Divisor Catalog (12)

1 2 4 137 274 548 8,537 17,074 34,148 1,169,569 2,339,138 4,678,276

Collatz Trajectory (180 steps to reach 1)

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

4,678,276 2,339,138 1,169,569 3,508,708 1,754,354 877,177 2,631,532 1,315,766 657,883 1,973,650 986,825 2,960,476 1,480,238 740,119 2,220,358 1,110,179 3,330,538 1,665,269 4,995,808 2,497,904 1,248,952 624,476 312,238 156,119 468,358 234,179 702,538 351,269 1,053,808 526,904 263,452 131,726 65,863 197,590 98,795 296,386 148,193 444,580 222,290 111,145 333,436 166,718 83,359 250,078 125,039 375,118 187,559 562,678 281,339 844,018 422,009 1,266,028 633,014 316,507 949,522 474,761 1,424,284 712,142 356,071 1,068,214

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