521,820

2² × 3² × 5 × 13 × 223

521,820 has the prime decomposition 2^2 × 3^2 × 5 × 13 × 223. Its 5 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 13 × 223

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,712,256

Proper Divisor Sum 1,190,436

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #521819 ← → #521831

Radix Representation

Decimal	521820
Binary	1111111011001011100 (19 bits)
Octal	0o1773134
Hexadecimal	0x7F65C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 223 234 260 390 446 468 585 669 780 892 1,115 1,170 1,338 2,007 2,230 2,340 2,676 2,899 3,345 4,014 4,460 5,798 6,690 8,028 8,697 10,035 11,596 13,380 14,495 17,394 20,070 26,091

Collatz Trajectory (133 steps to reach 1)

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

521,820 260,910 130,455 391,366 195,683 587,050 293,525 880,576 440,288 220,144 110,072 55,036 27,518 13,759 41,278 20,639 61,918 30,959 92,878 46,439 139,318 69,659 208,978 104,489 313,468 156,734 78,367 235,102 117,551 352,654 176,327 528,982 264,491 793,474 396,737 1,190,212 595,106 297,553 892,660 446,330 223,165 669,496 334,748 167,374 83,687 251,062 125,531 376,594 188,297 564,892 282,446 141,223 423,670 211,835 635,506 317,753 953,260 476,630 238,315 714,946

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