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4,600,518

2 × 3 × 133 × 349
Abundant Even Composite

4,600,518 factors as 2 × 3 × 13^3 × 349. Its 32 positive divisors give a proper-divisor sum of 5,395,482, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13^3 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,996,000
Proper Divisor Sum 5,395,482
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4600513 ← → #4600537

Radix Representation

Decimal 4600518
Binary 10001100011001011000110 (23 bits)
Octal 0o21431306
Hexadecimal 0x4632C6

Divisor Catalog (32)

1 2 3 6 13 26 39 78 169 338 349 507 698 1,014 1,047 2,094 2,197 4,394 4,537 6,591 9,074 13,182 13,611 27,222 58,981 117,962 176,943 353,886 766,753 1,533,506 2,300,259 4,600,518

Collatz Trajectory (87 steps to reach 1)

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

4,600,518 2,300,259 6,900,778 3,450,389 10,351,168 5,175,584 2,587,792 1,293,896 646,948 323,474 161,737 485,212 242,606 121,303 363,910 181,955 545,866 272,933 818,800 409,400 204,700 102,350 51,175 153,526 76,763 230,290 115,145 345,436 172,718 86,359 259,078 129,539 388,618 194,309 582,928 291,464 145,732 72,866 36,433 109,300 54,650 27,325 81,976 40,988 20,494 10,247 30,742 15,371 46,114 23,057 69,172 34,586 17,293 51,880 25,940 12,970 6,485 19,456 9,728 4,864

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