2,617,589

13 × 271 × 743

Starting at 2,617,589, the Collatz iteration reaches 1 after 68 steps. The first transition is 7852768; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 271 × 743

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,833,152

Proper Divisor Sum 215,563

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #2617583 ← → #2617591

Radix Representation

Decimal	2617589
Binary	1001111111000011110101 (22 bits)
Octal	0o11770365
Hexadecimal	0x27F0F5

Divisor Catalog (8)

1 13 271 743 3,523 9,659 201,353 2,617,589

Collatz Trajectory (68 steps to reach 1)

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

2,617,589 7,852,768 3,926,384 1,963,192 981,596 490,798 245,399 736,198 368,099 1,104,298 552,149 1,656,448 828,224 414,112 207,056 103,528 51,764 25,882 12,941 38,824 19,412 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80

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