4,630,764

2² × 3 × 385897

4,630,764 factors as 2^2 × 3 × 385897. Its 12 positive divisors give a proper-divisor sum of 6,174,380, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 385897

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,805,144

Proper Divisor Sum 6,174,380

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4630763 ← → #4630789

Radix Representation

Decimal	4630764
Binary	10001101010100011101100 (23 bits)
Octal	0o21524354
Hexadecimal	0x46A8EC

Divisor Catalog (12)

1 2 3 4 6 12 385,897 771,794 1,157,691 1,543,588 2,315,382 4,630,764

Collatz Trajectory (136 steps to reach 1)

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

4,630,764 2,315,382 1,157,691 3,473,074 1,736,537 5,209,612 2,604,806 1,302,403 3,907,210 1,953,605 5,860,816 2,930,408 1,465,204 732,602 366,301 1,098,904 549,452 274,726 137,363 412,090 206,045 618,136 309,068 154,534 77,267 231,802 115,901 347,704 173,852 86,926 43,463 130,390 65,195 195,586 97,793 293,380 146,690 73,345 220,036 110,018 55,009 165,028 82,514 41,257 123,772 61,886 30,943 92,830 46,415 139,246 69,623 208,870 104,435 313,306 156,653 469,960 234,980 117,490 58,745 176,236

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