7,348,884

2² × 3 × 612407

Starting at 7,348,884, the Collatz iteration reaches 1 after 217 steps. The first transition is 3674442; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 612407

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,147,424

Proper Divisor Sum 9,798,540

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7348883 ← → #7348897

Radix Representation

Decimal	7348884
Binary	11100000010001010010100 (23 bits)
Octal	0o34021224
Hexadecimal	0x702294

Divisor Catalog (12)

1 2 3 4 6 12 612,407 1,224,814 1,837,221 2,449,628 3,674,442 7,348,884

Collatz Trajectory (217 steps to reach 1)

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

7,348,884 3,674,442 1,837,221 5,511,664 2,755,832 1,377,916 688,958 344,479 1,033,438 516,719 1,550,158 775,079 2,325,238 1,162,619 3,487,858 1,743,929 5,231,788 2,615,894 1,307,947 3,923,842 1,961,921 5,885,764 2,942,882 1,471,441 4,414,324 2,207,162 1,103,581 3,310,744 1,655,372 827,686 413,843 1,241,530 620,765 1,862,296 931,148 465,574 232,787 698,362 349,181 1,047,544 523,772 261,886 130,943 392,830 196,415 589,246 294,623 883,870 441,935 1,325,806 662,903 1,988,710 994,355 2,983,066 1,491,533 4,474,600 2,237,300 1,118,650 559,325 1,677,976

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