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Atlas › Integer Profiles › Node 4,500,944

4,500,944

24 × 72 × 5741
Abundant Even Composite

4,500,944 factors as 2^4 × 7^2 × 5741. Its 30 positive divisors give a proper-divisor sum of 5,645,170, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 5741
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 10,146,114
Proper Divisor Sum 5,645,170
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4500943 ← → #4500989

Radix Representation

Decimal 4500944
Binary 10001001010110111010000 (23 bits)
Octal 0o21126720
Hexadecimal 0x44ADD0

Divisor Catalog (30)

1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 5,741 11,482 22,964 40,187 45,928 80,374 91,856 160,748 281,309 321,496 562,618 642,992 1,125,236 2,250,472 4,500,944

Collatz Trajectory (136 steps to reach 1)

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

4,500,944 2,250,472 1,125,236 562,618 281,309 843,928 421,964 210,982 105,491 316,474 158,237 474,712 237,356 118,678 59,339 178,018 89,009 267,028 133,514 66,757 200,272 100,136 50,068 25,034 12,517 37,552 18,776 9,388 4,694 2,347 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769

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