2,527,583

43² × 1367

Starting at 2,527,583, the Collatz iteration reaches 1 after 187 steps. The first transition is 7582750; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 43^2 × 1367

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,589,624

Proper Divisor Sum 62,041

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2527579 ← → #2527597

Radix Representation

Decimal	2527583
Binary	1001101001000101011111 (22 bits)
Octal	0o11510537
Hexadecimal	0x26915F

Divisor Catalog (6)

1 43 1,367 1,849 58,781 2,527,583

Collatz Trajectory (187 steps to reach 1)

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

2,527,583 7,582,750 3,791,375 11,374,126 5,687,063 17,061,190 8,530,595 25,591,786 12,795,893 38,387,680 19,193,840 9,596,920 4,798,460 2,399,230 1,199,615 3,598,846 1,799,423 5,398,270 2,699,135 8,097,406 4,048,703 12,146,110 6,073,055 18,219,166 9,109,583 27,328,750 13,664,375 40,993,126 20,496,563 61,489,690 30,744,845 92,234,536 46,117,268 23,058,634 11,529,317 34,587,952 17,293,976 8,646,988 4,323,494 2,161,747 6,485,242 3,242,621 9,727,864 4,863,932 2,431,966 1,215,983 3,647,950 1,823,975 5,471,926 2,735,963 8,207,890 4,103,945 12,311,836 6,155,918 3,077,959 9,233,878 4,616,939 13,850,818 6,925,409 20,776,228

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