4,763,456

2⁶ × 263 × 283

4,763,456 factors as 2^6 × 263 × 283. Its 28 positive divisors give a proper-divisor sum of 4,758,496, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^6 × 263 × 283

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 9,521,952

Proper Divisor Sum 4,758,496

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4763449 ← → #4763459

Radix Representation

Decimal	4763456
Binary	10010001010111101000000 (23 bits)
Octal	0o22127500
Hexadecimal	0x48AF40

Divisor Catalog (28)

1 2 4 8 16 32 64 263 283 526 566 1,052 1,132 2,104 2,264 4,208 4,528 8,416 9,056 16,832 18,112 74,429 148,858 297,716 595,432 1,190,864 2,381,728 4,763,456

Collatz Trajectory (144 steps to reach 1)

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

4,763,456 2,381,728 1,190,864 595,432 297,716 148,858 74,429 223,288 111,644 55,822 27,911 83,734 41,867 125,602 62,801 188,404 94,202 47,101 141,304 70,652 35,326 17,663 52,990 26,495 79,486 39,743 119,230 59,615 178,846 89,423 268,270 134,135 402,406 201,203 603,610 301,805 905,416 452,708 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432 53,716 26,858 13,429 40,288 20,144 10,072 5,036

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