7,443,753

3 × 727 × 3413

Starting at 7,443,753, the Collatz iteration reaches 1 after 173 steps. The first transition is 22331260; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 727 × 3413

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,941,568

Proper Divisor Sum 2,497,815

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7443727 ← → #7443757

Radix Representation

Decimal	7443753
Binary	11100011001010100101001 (23 bits)
Octal	0o34312451
Hexadecimal	0x719529

Divisor Catalog (8)

1 3 727 2,181 3,413 10,239 2,481,251 7,443,753

Collatz Trajectory (173 steps to reach 1)

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

7,443,753 22,331,260 11,165,630 5,582,815 16,748,446 8,374,223 25,122,670 12,561,335 37,684,006 18,842,003 56,526,010 28,263,005 84,789,016 42,394,508 21,197,254 10,598,627 31,795,882 15,897,941 47,693,824 23,846,912 11,923,456 5,961,728 2,980,864 1,490,432 745,216 372,608 186,304 93,152 46,576 23,288 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220

← Previous Integer #7,443,752 Browse Full Index Next Integer #7,443,754 →