1,803,088

2⁴ × 7 × 17 × 947

Starting at 1,803,088, the Collatz iteration reaches 1 after 114 steps. The first transition is 901544; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 17 × 947

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 4,231,872

Proper Divisor Sum 2,428,784

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1803079 ← → #1803089

Radix Representation

Decimal	1803088
Binary	110111000001101010000 (21 bits)
Octal	0o6701520
Hexadecimal	0x1B8350

Divisor Catalog (40)

1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 947 952 1,894 1,904 3,788 6,629 7,576 13,258 15,152 16,099 26,516 32,198 53,032 64,396 106,064 112,693 128,792 225,386 257,584 450,772 901,544 1,803,088

Collatz Trajectory (114 steps to reach 1)

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

1,803,088 901,544 450,772 225,386 112,693 338,080 169,040 84,520 42,260 21,130 10,565 31,696 15,848 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912

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