λ
Sequence Observatory

1,520,708

22 × 7 × 54311
Abundant Even Composite

Starting at 1,520,708, the Collatz iteration reaches 1 after 88 steps. The first transition is 760354; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 54311
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,041,472
Proper Divisor Sum 1,520,764
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1520707 ← → #1520711

Radix Representation

Decimal 1520708
Binary 101110011010001000100 (21 bits)
Octal 0o5632104
Hexadecimal 0x173444

Divisor Catalog (12)

1 2 4 7 14 28 54,311 108,622 217,244 380,177 760,354 1,520,708

Collatz Trajectory (88 steps to reach 1)

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

1,520,708 760,354 380,177 1,140,532 570,266 285,133 855,400 427,700 213,850 106,925 320,776 160,388 80,194 40,097 120,292 60,146 30,073 90,220 45,110 22,555 67,666 33,833 101,500 50,750 25,375 76,126 38,063 114,190 57,095 171,286 85,643 256,930 128,465 385,396 192,698 96,349 289,048 144,524 72,262 36,131 108,394 54,197 162,592 81,296 40,648 20,324 10,162 5,081 15,244 7,622 3,811 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268

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