3,559,815

3³ × 5 × 7 × 3767

Starting at 3,559,815, the Collatz iteration reaches 1 after 159 steps. The first transition is 10679446; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 3767

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,234,560

Proper Divisor Sum 3,674,745

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3559799 ← → #3559861

Radix Representation

Decimal	3559815
Binary	1101100101000110000111 (22 bits)
Octal	0o15450607
Hexadecimal	0x365187

Divisor Catalog (32)

1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 3,767 11,301 18,835 26,369 33,903 56,505 79,107 101,709 131,845 169,515 237,321 395,535 508,545 711,963 1,186,605 3,559,815

Collatz Trajectory (159 steps to reach 1)

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

3,559,815 10,679,446 5,339,723 16,019,170 8,009,585 24,028,756 12,014,378 6,007,189 18,021,568 9,010,784 4,505,392 2,252,696 1,126,348 563,174 281,587 844,762 422,381 1,267,144 633,572 316,786 158,393 475,180 237,590 118,795 356,386 178,193 534,580 267,290 133,645 400,936 200,468 100,234 50,117 150,352 75,176 37,588 18,794 9,397 28,192 14,096 7,048 3,524 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107

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