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Atlas › Integer Profiles › Node 8,096,800

8,096,800

25 × 52 × 29 × 349
Abundant Even Composite

8,096,800 factors as 2^5 × 5^2 × 29 × 349. Its 72 positive divisors give a proper-divisor sum of 12,409,700, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 29 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 20,506,500
Proper Divisor Sum 12,409,700
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8096783 ← → #8096807

Radix Representation

Decimal 8096800
Binary 11110111000110000100000 (23 bits)
Octal 0o36706040
Hexadecimal 0x7B8C20

Divisor Catalog (60 of 72)

1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 232 290 349 400 464 580 698 725 800 928 1,160 1,396 1,450 1,745 2,320 2,792 2,900 3,490 4,640 5,584 5,800 6,980 8,725 10,121 11,168 11,600 13,960 17,450 20,242 23,200 27,920 34,900 40,484 50,605 55,840 69,800 80,968 101,210 139,600 161,936

Collatz Trajectory (137 steps to reach 1)

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

8,096,800 4,048,400 2,024,200 1,012,100 506,050 253,025 759,076 379,538 189,769 569,308 284,654 142,327 426,982 213,491 640,474 320,237 960,712 480,356 240,178 120,089 360,268 180,134 90,067 270,202 135,101 405,304 202,652 101,326 50,663 151,990 75,995 227,986 113,993 341,980 170,990 85,495 256,486 128,243 384,730 192,365 577,096 288,548 144,274 72,137 216,412 108,206 54,103 162,310 81,155 243,466 121,733 365,200 182,600 91,300 45,650 22,825 68,476 34,238 17,119 51,358

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