7,438,779

3² × 59 × 14009

7,438,779 has the prime decomposition 3^2 × 59 × 14009. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 59 × 14009

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,927,800

Proper Divisor Sum 3,489,021

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7438777 ← → #7438787

Radix Representation

Decimal	7438779
Binary	11100011000000110111011 (23 bits)
Octal	0o34300673
Hexadecimal	0x7181BB

Divisor Catalog (12)

1 3 9 59 177 531 14,009 42,027 126,081 826,531 2,479,593 7,438,779

Collatz Trajectory (173 steps to reach 1)

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

7,438,779 22,316,338 11,158,169 33,474,508 16,737,254 8,368,627 25,105,882 12,552,941 37,658,824 18,829,412 9,414,706 4,707,353 14,122,060 7,061,030 3,530,515 10,591,546 5,295,773 15,887,320 7,943,660 3,971,830 1,985,915 5,957,746 2,978,873 8,936,620 4,468,310 2,234,155 6,702,466 3,351,233 10,053,700 5,026,850 2,513,425 7,540,276 3,770,138 1,885,069 5,655,208 2,827,604 1,413,802 706,901 2,120,704 1,060,352 530,176 265,088 132,544 66,272 33,136 16,568 8,284 4,142 2,071 6,214 3,107 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312

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