1,183,588

2² × 7 × 41 × 1031

Starting at 1,183,588, the Collatz iteration reaches 1 after 160 steps. The first transition is 591794; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 41 × 1031

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,427,264

Proper Divisor Sum 1,243,676

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #1183579 ← → #1183597

Radix Representation

Decimal	1183588
Binary	100100000111101100100 (21 bits)
Octal	0o4407544
Hexadecimal	0x120F64

Divisor Catalog (24)

1 2 4 7 14 28 41 82 164 287 574 1,031 1,148 2,062 4,124 7,217 14,434 28,868 42,271 84,542 169,084 295,897 591,794 1,183,588

Collatz Trajectory (160 steps to reach 1)

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

1,183,588 591,794 295,897 887,692 443,846 221,923 665,770 332,885 998,656 499,328 249,664 124,832 62,416 31,208 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214

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