4,652,988

2² × 3 × 387749

4,652,988 factors as 2^2 × 3 × 387749. Its 12 positive divisors give a proper-divisor sum of 6,204,012, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 387749

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,857,000

Proper Divisor Sum 6,204,012

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4652981 ← → #4653017

Radix Representation

Decimal	4652988
Binary	10001101111111110111100 (23 bits)
Octal	0o21577674
Hexadecimal	0x46FFBC

Divisor Catalog (12)

1 2 3 4 6 12 387,749 775,498 1,163,247 1,550,996 2,326,494 4,652,988

Collatz Trajectory (100 steps to reach 1)

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

4,652,988 2,326,494 1,163,247 3,489,742 1,744,871 5,234,614 2,617,307 7,851,922 3,925,961 11,777,884 5,888,942 2,944,471 8,833,414 4,416,707 13,250,122 6,625,061 19,875,184 9,937,592 4,968,796 2,484,398 1,242,199 3,726,598 1,863,299 5,589,898 2,794,949 8,384,848 4,192,424 2,096,212 1,048,106 524,053 1,572,160 786,080 393,040 196,520 98,260 49,130 24,565 73,696 36,848 18,424 9,212 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524

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