7,531,749

3² × 836861

Starting at 7,531,749, the Collatz iteration reaches 1 after 129 steps. The first transition is 22595248; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 836861

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 10,879,206

Proper Divisor Sum 3,347,457

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7531747 ← → #7531753

Radix Representation

Decimal	7531749
Binary	11100101110110011100101 (23 bits)
Octal	0o34566345
Hexadecimal	0x72ECE5

Divisor Catalog (6)

1 3 9 836,861 2,510,583 7,531,749

Collatz Trajectory (129 steps to reach 1)

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

7,531,749 22,595,248 11,297,624 5,648,812 2,824,406 1,412,203 4,236,610 2,118,305 6,354,916 3,177,458 1,588,729 4,766,188 2,383,094 1,191,547 3,574,642 1,787,321 5,361,964 2,680,982 1,340,491 4,021,474 2,010,737 6,032,212 3,016,106 1,508,053 4,524,160 2,262,080 1,131,040 565,520 282,760 141,380 70,690 35,345 106,036 53,018 26,509 79,528 39,764 19,882 9,941 29,824 14,912 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

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