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4,572,450

2 × 34 × 52 × 1129
Abundant Even Composite

4,572,450 factors as 2 × 3^4 × 5^2 × 1129. Its 60 positive divisors give a proper-divisor sum of 8,143,440, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 5^2 × 1129
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 12,715,890
Proper Divisor Sum 8,143,440
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4572437 ← → #4572487

Radix Representation

Decimal 4572450
Binary 10001011100010100100010 (23 bits)
Octal 0o21342442
Hexadecimal 0x45C522

Divisor Catalog (60)

1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1,129 1,350 2,025 2,258 3,387 4,050 5,645 6,774 10,161 11,290 16,935 20,322 28,225 30,483 33,870 50,805 56,450 60,966 84,675 91,449 101,610 152,415 169,350 182,898 254,025 304,830 457,245 508,050 762,075 914,490 1,524,150 2,286,225 4,572,450

Collatz Trajectory (79 steps to reach 1)

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

4,572,450 2,286,225 6,858,676 3,429,338 1,714,669 5,144,008 2,572,004 1,286,002 643,001 1,929,004 964,502 482,251 1,446,754 723,377 2,170,132 1,085,066 542,533 1,627,600 813,800 406,900 203,450 101,725 305,176 152,588 76,294 38,147 114,442 57,221 171,664 85,832 42,916 21,458 10,729 32,188 16,094 8,047 24,142 12,071 36,214 18,107 54,322 27,161 81,484 40,742 20,371 61,114 30,557 91,672 45,836 22,918 11,459 34,378 17,189 51,568 25,784 12,892 6,446 3,223 9,670 4,835

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