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Atlas › Integer Profiles › Node 4,502,208

4,502,208

26 × 3 × 131 × 179
Abundant Even Composite

4,502,208 factors as 2^6 × 3 × 131 × 179. Its 56 positive divisors give a proper-divisor sum of 7,567,872, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 131 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 12,070,080
Proper Divisor Sum 7,567,872
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4502207 ← → #4502213

Radix Representation

Decimal 4502208
Binary 10001001011001011000000 (23 bits)
Octal 0o21131300
Hexadecimal 0x44B2C0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 48 64 96 131 179 192 262 358 393 524 537 716 786 1,048 1,074 1,432 1,572 2,096 2,148 2,864 3,144 4,192 4,296 5,728 6,288 8,384 8,592 11,456 12,576 17,184 23,449 25,152 34,368 46,898 70,347 93,796 140,694 187,592 281,388 375,184 562,776 750,368 1,125,552 1,500,736 2,251,104 4,502,208

Collatz Trajectory (87 steps to reach 1)

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

4,502,208 2,251,104 1,125,552 562,776 281,388 140,694 70,347 211,042 105,521 316,564 158,282 79,141 237,424 118,712 59,356 29,678 14,839 44,518 22,259 66,778 33,389 100,168 50,084 25,042 12,521 37,564 18,782 9,391 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794

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