1,620,000

2⁵ × 3⁴ × 5⁴

1,620,000 factors as 2^5 × 3^4 × 5^4. Its 150 positive divisors give a proper-divisor sum of 4,333,563, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^5 × 3^4 × 5^4

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 150

Divisor Sum (σ) 5,953,563

Proper Divisor Sum 4,333,563

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #1619987 ← → #1620001

Radix Representation

Decimal	1620000
Binary	110001011100000100000 (21 bits)
Octal	0o6134040
Hexadecimal	0x18B820

Divisor Catalog (60 of 150)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 81 90 96 100 108 120 125 135 144 150 160 162 180 200 216 225 240 250 270 288 300 324 360 375 400 405 432 450 480 500 540

Collatz Trajectory (62 steps to reach 1)

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

1,620,000 810,000 405,000 202,500 101,250 50,625 151,876 75,938 37,969 113,908 56,954 28,477 85,432 42,716 21,358 10,679 32,038 16,019 48,058 24,029 72,088 36,044 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8

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