2,586,980

2² × 5 × 11² × 1069

Starting at 2,586,980, the Collatz iteration reaches 1 after 156 steps. The first transition is 1293490; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 11^2 × 1069

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 5,977,020

Proper Divisor Sum 3,390,040

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #2586979 ← → #2586989

Radix Representation

Decimal	2586980
Binary	1001110111100101100100 (22 bits)
Octal	0o11674544
Hexadecimal	0x277964

Divisor Catalog (36)

1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1,069 1,210 2,138 2,420 4,276 5,345 10,690 11,759 21,380 23,518 47,036 58,795 117,590 129,349 235,180 258,698 517,396 646,745 1,293,490 2,586,980

Collatz Trajectory (156 steps to reach 1)

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

2,586,980 1,293,490 646,745 1,940,236 970,118 485,059 1,455,178 727,589 2,182,768 1,091,384 545,692 272,846 136,423 409,270 204,635 613,906 306,953 920,860 460,430 230,215 690,646 345,323 1,035,970 517,985 1,553,956 776,978 388,489 1,165,468 582,734 291,367 874,102 437,051 1,311,154 655,577 1,966,732 983,366 491,683 1,475,050 737,525 2,212,576 1,106,288 553,144 276,572 138,286 69,143 207,430 103,715 311,146 155,573 466,720 233,360 116,680 58,340 29,170 14,585 43,756 21,878 10,939 32,818 16,409

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