5,480,865

3⁵ × 5 × 13 × 347

5,480,865 has the prime decomposition 3^5 × 5 × 13 × 347. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 5 × 13 × 347

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,640,448

Proper Divisor Sum 5,159,583

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5480857 ← → #5480869

Radix Representation

Decimal	5480865
Binary	10100111010000110100001 (23 bits)
Octal	0o24720641
Hexadecimal	0x53A1A1

Divisor Catalog (48)

1 3 5 9 13 15 27 39 45 65 81 117 135 195 243 347 351 405 585 1,041 1,053 1,215 1,735 1,755 3,123 3,159 4,511 5,205 5,265 9,369 13,533 15,615 15,795 22,555 28,107 40,599 46,845 67,665 84,321 121,797 140,535 202,995 365,391 421,605 608,985 1,096,173 1,826,955 5,480,865

Collatz Trajectory (201 steps to reach 1)

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

5,480,865 16,442,596 8,221,298 4,110,649 12,331,948 6,165,974 3,082,987 9,248,962 4,624,481 13,873,444 6,936,722 3,468,361 10,405,084 5,202,542 2,601,271 7,803,814 3,901,907 11,705,722 5,852,861 17,558,584 8,779,292 4,389,646 2,194,823 6,584,470 3,292,235 9,876,706 4,938,353 14,815,060 7,407,530 3,703,765 11,111,296 5,555,648 2,777,824 1,388,912 694,456 347,228 173,614 86,807 260,422 130,211 390,634 195,317 585,952 292,976 146,488 73,244 36,622 18,311 54,934 27,467 82,402 41,201 123,604 61,802 30,901 92,704 46,352 23,176 11,588 5,794

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