5,227,624

2³ × 23 × 28411

5,227,624 factors as 2^3 × 23 × 28411. Its 16 positive divisors give a proper-divisor sum of 5,000,696, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 28411

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,228,320

Proper Divisor Sum 5,000,696

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #5227613 ← → #5227631

Radix Representation

Decimal	5227624
Binary	10011111100010001101000 (23 bits)
Octal	0o23742150
Hexadecimal	0x4FC468

Divisor Catalog (16)

1 2 4 8 23 46 92 184 28,411 56,822 113,644 227,288 653,453 1,306,906 2,613,812 5,227,624

Collatz Trajectory (95 steps to reach 1)

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

5,227,624 2,613,812 1,306,906 653,453 1,960,360 980,180 490,090 245,045 735,136 367,568 183,784 91,892 45,946 22,973 68,920 34,460 17,230 8,615 25,846 12,923 38,770 19,385 58,156 29,078 14,539 43,618 21,809 65,428 32,714 16,357 49,072 24,536 12,268 6,134 3,067 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922

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