4,687,436

2² × 13 × 109 × 827

4,687,436 factors as 2^2 × 13 × 109 × 827. Its 24 positive divisors give a proper-divisor sum of 4,238,404, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 109 × 827

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,925,840

Proper Divisor Sum 4,238,404

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #4687421 ← → #4687439

Radix Representation

Decimal	4687436
Binary	10001111000011001001100 (23 bits)
Octal	0o21703114
Hexadecimal	0x47864C

Divisor Catalog (24)

1 2 4 13 26 52 109 218 436 827 1,417 1,654 2,834 3,308 5,668 10,751 21,502 43,004 90,143 180,286 360,572 1,171,859 2,343,718 4,687,436

Collatz Trajectory (74 steps to reach 1)

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

4,687,436 2,343,718 1,171,859 3,515,578 1,757,789 5,273,368 2,636,684 1,318,342 659,171 1,977,514 988,757 2,966,272 1,483,136 741,568 370,784 185,392 92,696 46,348 23,174 11,587 34,762 17,381 52,144 26,072 13,036 6,518 3,259 9,778 4,889 14,668 7,334 3,667 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23

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