7,777,181

1879 × 4139

Starting at 7,777,181, the Collatz iteration reaches 1 after 279 steps. The first transition is 23331544; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 1879 × 4139

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,783,200

Proper Divisor Sum 6,019

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7777171 ← → #7777193

Radix Representation

Decimal	7777181
Binary	11101101010101110011101 (23 bits)
Octal	0o35525635
Hexadecimal	0x76AB9D

Divisor Catalog (4)

1 1,879 4,139 7,777,181

Collatz Trajectory (279 steps to reach 1)

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

7,777,181 23,331,544 11,665,772 5,832,886 2,916,443 8,749,330 4,374,665 13,123,996 6,561,998 3,280,999 9,842,998 4,921,499 14,764,498 7,382,249 22,146,748 11,073,374 5,536,687 16,610,062 8,305,031 24,915,094 12,457,547 37,372,642 18,686,321 56,058,964 28,029,482 14,014,741 42,044,224 21,022,112 10,511,056 5,255,528 2,627,764 1,313,882 656,941 1,970,824 985,412 492,706 246,353 739,060 369,530 184,765 554,296 277,148 138,574 69,287 207,862 103,931 311,794 155,897 467,692 233,846 116,923 350,770 175,385 526,156 263,078 131,539 394,618 197,309 591,928 295,964

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