8,454,960

2⁴ × 3² × 5 × 11743

8,454,960 factors as 2^4 × 3^2 × 5 × 11743. Its 60 positive divisors give a proper-divisor sum of 19,942,032, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 11743

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 28,396,992

Proper Divisor Sum 19,942,032

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8454959 ← → #8455063

Radix Representation

Decimal	8454960
Binary	100000010000001100110000 (24 bits)
Octal	0o40201460
Hexadecimal	0x810330

Divisor Catalog (60)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 11,743 23,486 35,229 46,972 58,715 70,458 93,944 105,687 117,430 140,916 176,145 187,888 211,374 234,860 281,832 352,290 422,748 469,720 528,435 563,664 704,580 845,496 939,440 1,056,870 1,409,160 1,690,992 2,113,740 2,818,320 4,227,480 8,454,960

Collatz Trajectory (124 steps to reach 1)

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

8,454,960 4,227,480 2,113,740 1,056,870 528,435 1,585,306 792,653 2,377,960 1,188,980 594,490 297,245 891,736 445,868 222,934 111,467 334,402 167,201 501,604 250,802 125,401 376,204 188,102 94,051 282,154 141,077 423,232 211,616 105,808 52,904 26,452 13,226 6,613 19,840 9,920 4,960 2,480 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251

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