2,753,000

2³ × 5³ × 2753

Starting at 2,753,000, the Collatz iteration reaches 1 after 81 steps. The first transition is 1376500; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^3 × 2753

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,444,360

Proper Divisor Sum 3,691,360

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #2752993 ← → #2753029

Radix Representation

Decimal	2753000
Binary	1010100000000111101000 (22 bits)
Octal	0o12400750
Hexadecimal	0x2A01E8

Divisor Catalog (32)

1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1,000 2,753 5,506 11,012 13,765 22,024 27,530 55,060 68,825 110,120 137,650 275,300 344,125 550,600 688,250 1,376,500 2,753,000

Collatz Trajectory (81 steps to reach 1)

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

2,753,000 1,376,500 688,250 344,125 1,032,376 516,188 258,094 129,047 387,142 193,571 580,714 290,357 871,072 435,536 217,768 108,884 54,442 27,221 81,664 40,832 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488

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