1,616,040

2³ × 3² × 5 × 67²

1,616,040 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 5 × 67^2 and its 72 divisors sum to 5,331,690.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 67^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 5,331,690

Proper Divisor Sum 3,715,650

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1616039 ← → #1616047

Radix Representation

Decimal	1616040
Binary	110001010100010101000 (21 bits)
Octal	0o6124250
Hexadecimal	0x18A8A8

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1,005 1,206 1,340 1,608 2,010 2,412 2,680 3,015 4,020 4,489 4,824 6,030 8,040 8,978 12,060 13,467 17,956 22,445 24,120 26,934 35,912 40,401 44,890 53,868 67,335 80,802

Collatz Trajectory (101 steps to reach 1)

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

1,616,040 808,020 404,010 202,005 606,016 303,008 151,504 75,752 37,876 18,938 9,469 28,408 14,204 7,102 3,551 10,654 5,327 15,982 7,991 23,974 11,987 35,962 17,981 53,944 26,972 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287

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