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Atlas › Integer Profiles › Node 4,505,920

4,505,920

26 × 5 × 14081
Abundant Even Composite

4,505,920 factors as 2^6 × 5 × 14081. Its 28 positive divisors give a proper-divisor sum of 6,224,564, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 14081
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 10,730,484
Proper Divisor Sum 6,224,564
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4505899 ← → #4505929

Radix Representation

Decimal 4505920
Binary 10001001100000101000000 (23 bits)
Octal 0o21140500
Hexadecimal 0x44C140

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 14,081 28,162 56,324 70,405 112,648 140,810 225,296 281,620 450,592 563,240 901,184 1,126,480 2,252,960 4,505,920

Collatz Trajectory (87 steps to reach 1)

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

4,505,920 2,252,960 1,126,480 563,240 281,620 140,810 70,405 211,216 105,608 52,804 26,402 13,201 39,604 19,802 9,901 29,704 14,852 7,426 3,713 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134

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