4,736,628

2² × 3² × 13 × 29 × 349

4,736,628 factors as 2^2 × 3^2 × 13 × 29 × 349. Its 72 positive divisors give a proper-divisor sum of 8,640,372, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 29 × 349

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 13,377,000

Proper Divisor Sum 8,640,372

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4736581 ← → #4736647

Radix Representation

Decimal	4736628
Binary	10010000100011001110100 (23 bits)
Octal	0o22043164
Hexadecimal	0x484674

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 349 377 468 522 698 754 1,044 1,047 1,131 1,396 1,508 2,094 2,262 3,141 3,393 4,188 4,524 4,537 6,282 6,786 9,074 10,121 12,564 13,572 13,611 18,148 20,242 27,222 30,363 40,484 40,833 54,444 60,726 81,666 91,089 121,452

Collatz Trajectory (149 steps to reach 1)

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

4,736,628 2,368,314 1,184,157 3,552,472 1,776,236 888,118 444,059 1,332,178 666,089 1,998,268 999,134 499,567 1,498,702 749,351 2,248,054 1,124,027 3,372,082 1,686,041 5,058,124 2,529,062 1,264,531 3,793,594 1,896,797 5,690,392 2,845,196 1,422,598 711,299 2,133,898 1,066,949 3,200,848 1,600,424 800,212 400,106 200,053 600,160 300,080 150,040 75,020 37,510 18,755 56,266 28,133 84,400 42,200 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050

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