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Atlas › Integer Profiles › Node 4,518,352

4,518,352

24 × 19 × 89 × 167
Abundant Even Composite

4,518,352 factors as 2^4 × 19 × 89 × 167. Its 40 positive divisors give a proper-divisor sum of 4,856,048, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^4 × 19 × 89 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,374,400
Proper Divisor Sum 4,856,048
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4518347 ← → #4518389

Radix Representation

Decimal 4518352
Binary 10001001111000111010000 (23 bits)
Octal 0o21170720
Hexadecimal 0x44F1D0

Divisor Catalog (40)

1 2 4 8 16 19 38 76 89 152 167 178 304 334 356 668 712 1,336 1,424 1,691 2,672 3,173 3,382 6,346 6,764 12,692 13,528 14,863 25,384 27,056 29,726 50,768 59,452 118,904 237,808 282,397 564,794 1,129,588 2,259,176 4,518,352

Collatz Trajectory (162 steps to reach 1)

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

4,518,352 2,259,176 1,129,588 564,794 282,397 847,192 423,596 211,798 105,899 317,698 158,849 476,548 238,274 119,137 357,412 178,706 89,353 268,060 134,030 67,015 201,046 100,523 301,570 150,785 452,356 226,178 113,089 339,268 169,634 84,817 254,452 127,226 63,613 190,840 95,420 47,710 23,855 71,566 35,783 107,350 53,675 161,026 80,513 241,540 120,770 60,385 181,156 90,578 45,289 135,868 67,934 33,967 101,902 50,951 152,854 76,427 229,282 114,641 343,924 171,962

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