1,102,331

17 × 61 × 1063

Starting at 1,102,331, the Collatz iteration reaches 1 after 178 steps. The first transition is 3306994; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 61 × 1063

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,187,424

Proper Divisor Sum 85,093

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #1102313 ← → #1102333

Radix Representation

Decimal	1102331
Binary	100001101000111111011 (21 bits)
Octal	0o4150773
Hexadecimal	0x10D1FB

Divisor Catalog (8)

1 17 61 1,037 1,063 18,071 64,843 1,102,331

Collatz Trajectory (178 steps to reach 1)

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

1,102,331 3,306,994 1,653,497 4,960,492 2,480,246 1,240,123 3,720,370 1,860,185 5,580,556 2,790,278 1,395,139 4,185,418 2,092,709 6,278,128 3,139,064 1,569,532 784,766 392,383 1,177,150 588,575 1,765,726 882,863 2,648,590 1,324,295 3,972,886 1,986,443 5,959,330 2,979,665 8,938,996 4,469,498 2,234,749 6,704,248 3,352,124 1,676,062 838,031 2,514,094 1,257,047 3,771,142 1,885,571 5,656,714 2,828,357 8,485,072 4,242,536 2,121,268 1,060,634 530,317 1,590,952 795,476 397,738 198,869 596,608 298,304 149,152 74,576 37,288 18,644 9,322 4,661 13,984 6,992

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