λ
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Atlas › Integer Profiles › Node 545,328

545,328

24 × 32 × 7 × 541
Abundant Even Composite

545,328 factors as 2^4 × 3^2 × 7 × 541. Its 60 positive divisors give a proper-divisor sum of 1,202,080, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 1,747,408
Proper Divisor Sum 1,202,080
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #545291 ← → #545329

Radix Representation

Decimal 545328
Binary 10000101001000110000 (20 bits)
Octal 0o2051060
Hexadecimal 0x85230

Divisor Catalog (60)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 541 1,008 1,082 1,623 2,164 3,246 3,787 4,328 4,869 6,492 7,574 8,656 9,738 11,361 12,984 15,148 19,476 22,722 25,968 30,296 34,083 38,952 45,444 60,592 68,166 77,904 90,888 136,332 181,776 272,664 545,328

Collatz Trajectory (84 steps to reach 1)

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

545,328 272,664 136,332 68,166 34,083 102,250 51,125 153,376 76,688 38,344 19,172 9,586 4,793 14,380 7,190 3,595 10,786 5,393 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98

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