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Atlas › Integer Profiles › Node 5,484,360

5,484,360

23 × 3 × 5 × 7 × 6529
Abundant Even Composite

5,484,360 factors as 2^3 × 3 × 5 × 7 × 6529. Its 64 positive divisors give a proper-divisor sum of 13,322,040, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 6529
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,806,400
Proper Divisor Sum 13,322,040
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5484343 ← → #5484371

Radix Representation

Decimal 5484360
Binary 10100111010111101001000 (23 bits)
Octal 0o24727510
Hexadecimal 0x53AF48

Divisor Catalog (60 of 64)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 6,529 13,058 19,587 26,116 32,645 39,174 45,703 52,232 65,290 78,348 91,406 97,935 130,580 137,109 156,696 182,812 195,870 228,515 261,160 274,218 365,624 391,740 457,030 548,436 685,545 783,480 914,060 1,096,872

Collatz Trajectory (201 steps to reach 1)

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

5,484,360 2,742,180 1,371,090 685,545 2,056,636 1,028,318 514,159 1,542,478 771,239 2,313,718 1,156,859 3,470,578 1,735,289 5,205,868 2,602,934 1,301,467 3,904,402 1,952,201 5,856,604 2,928,302 1,464,151 4,392,454 2,196,227 6,588,682 3,294,341 9,883,024 4,941,512 2,470,756 1,235,378 617,689 1,853,068 926,534 463,267 1,389,802 694,901 2,084,704 1,042,352 521,176 260,588 130,294 65,147 195,442 97,721 293,164 146,582 73,291 219,874 109,937 329,812 164,906 82,453 247,360 123,680 61,840 30,920 15,460 7,730 3,865 11,596 5,798

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