7,337,709

3⁴ × 157 × 577

7,337,709 has the prime decomposition 3^4 × 157 × 577. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 157 × 577

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 11,050,204

Proper Divisor Sum 3,712,495

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7337699 ← → #7337717

Radix Representation

Decimal	7337709
Binary	11011111111011011101101 (23 bits)
Octal	0o33773355
Hexadecimal	0x6FF6ED

Divisor Catalog (20)

1 3 9 27 81 157 471 577 1,413 1,731 4,239 5,193 12,717 15,579 46,737 90,589 271,767 815,301 2,445,903 7,337,709

Collatz Trajectory (59 steps to reach 1)

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

7,337,709 22,013,128 11,006,564 5,503,282 2,751,641 8,254,924 4,127,462 2,063,731 6,191,194 3,095,597 9,286,792 4,643,396 2,321,698 1,160,849 3,482,548 1,741,274 870,637 2,611,912 1,305,956 652,978 326,489 979,468 489,734 244,867 734,602 367,301 1,101,904 550,952 275,476 137,738 68,869 206,608 103,304 51,652 25,826 12,913 38,740 19,370 9,685 29,056 14,528 7,264 3,632 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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