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6,089,480

23 × 5 × 23 × 6619
Abundant Even Composite

6,089,480 factors as 2^3 × 5 × 23 × 6619. Its 32 positive divisors give a proper-divisor sum of 8,209,720, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 23 × 6619
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,299,200
Proper Divisor Sum 8,209,720
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6089471 ← → #6089483

Radix Representation

Decimal 6089480
Binary 10111001110101100001000 (23 bits)
Octal 0o27165410
Hexadecimal 0x5CEB08

Divisor Catalog (32)

1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 6,619 13,238 26,476 33,095 52,952 66,190 132,380 152,237 264,760 304,474 608,948 761,185 1,217,896 1,522,370 3,044,740 6,089,480

Collatz Trajectory (227 steps to reach 1)

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

6,089,480 3,044,740 1,522,370 761,185 2,283,556 1,141,778 570,889 1,712,668 856,334 428,167 1,284,502 642,251 1,926,754 963,377 2,890,132 1,445,066 722,533 2,167,600 1,083,800 541,900 270,950 135,475 406,426 203,213 609,640 304,820 152,410 76,205 228,616 114,308 57,154 28,577 85,732 42,866 21,433 64,300 32,150 16,075 48,226 24,113 72,340 36,170 18,085 54,256 27,128 13,564 6,782 3,391 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636

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