4,680,368

2⁴ × 7 × 11 × 29 × 131

4,680,368 factors as 2^4 × 7 × 11 × 29 × 131. Its 80 positive divisors give a proper-divisor sum of 7,104,592, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 29 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 11,784,960

Proper Divisor Sum 7,104,592

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4680353 ← → #4680371

Radix Representation

Decimal	4680368
Binary	10001110110101010110000 (23 bits)
Octal	0o21665260
Hexadecimal	0x476AB0

Divisor Catalog (60 of 80)

1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 131 154 176 203 232 262 308 319 406 464 524 616 638 812 917 1,048 1,232 1,276 1,441 1,624 1,834 2,096 2,233 2,552 2,882 3,248 3,668 3,799 4,466 5,104 5,764 7,336 7,598 8,932 10,087 11,528 14,672 15,196 17,864 20,174 23,056 26,593

Collatz Trajectory (149 steps to reach 1)

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

4,680,368 2,340,184 1,170,092 585,046 292,523 877,570 438,785 1,316,356 658,178 329,089 987,268 493,634 246,817 740,452 370,226 185,113 555,340 277,670 138,835 416,506 208,253 624,760 312,380 156,190 78,095 234,286 117,143 351,430 175,715 527,146 263,573 790,720 395,360 197,680 98,840 49,420 24,710 12,355 37,066 18,533 55,600 27,800 13,900 6,950 3,475 10,426 5,213 15,640 7,820 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826

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