490,360

2³ × 5 × 13 × 23 × 41

490,360 is even and not a perfect square. Its factorization is 2^3 × 5 × 13 × 23 × 41 and its 64 divisors sum to 1,270,080.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 23 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,270,080

Proper Divisor Sum 779,720

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #490339 ← → #490367

Radix Representation

Decimal	490360
Binary	1110111101101111000 (19 bits)
Octal	0o1675570
Hexadecimal	0x77B78

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 23 26 40 41 46 52 65 82 92 104 115 130 164 184 205 230 260 299 328 410 460 520 533 598 820 920 943 1,066 1,196 1,495 1,640 1,886 2,132 2,392 2,665 2,990 3,772 4,264 4,715 5,330 5,980 7,544 9,430 10,660 11,960 12,259 18,860 21,320 24,518 37,720 49,036 61,295

Collatz Trajectory (94 steps to reach 1)

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

490,360 245,180 122,590 61,295 183,886 91,943 275,830 137,915 413,746 206,873 620,620 310,310 155,155 465,466 232,733 698,200 349,100 174,550 87,275 261,826 130,913 392,740 196,370 98,185 294,556 147,278 73,639 220,918 110,459 331,378 165,689 497,068 248,534 124,267 372,802 186,401 559,204 279,602 139,801 419,404 209,702 104,851 314,554 157,277 471,832 235,916 117,958 58,979 176,938 88,469 265,408 132,704 66,352 33,176 16,588 8,294 4,147 12,442 6,221 18,664

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