7,773,147

3² × 19 × 131 × 347

Starting at 7,773,147, the Collatz iteration reaches 1 after 186 steps. The first transition is 23319442; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 19 × 131 × 347

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,943,360

Proper Divisor Sum 4,170,213

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7773133 ← → #7773163

Radix Representation

Decimal	7773147
Binary	11101101001101111011011 (23 bits)
Octal	0o35515733
Hexadecimal	0x769BDB

Divisor Catalog (24)

1 3 9 19 57 131 171 347 393 1,041 1,179 2,489 3,123 6,593 7,467 19,779 22,401 45,457 59,337 136,371 409,113 863,683 2,591,049 7,773,147

Collatz Trajectory (186 steps to reach 1)

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

7,773,147 23,319,442 11,659,721 34,979,164 17,489,582 8,744,791 26,234,374 13,117,187 39,351,562 19,675,781 59,027,344 29,513,672 14,756,836 7,378,418 3,689,209 11,067,628 5,533,814 2,766,907 8,300,722 4,150,361 12,451,084 6,225,542 3,112,771 9,338,314 4,669,157 14,007,472 7,003,736 3,501,868 1,750,934 875,467 2,626,402 1,313,201 3,939,604 1,969,802 984,901 2,954,704 1,477,352 738,676 369,338 184,669 554,008 277,004 138,502 69,251 207,754 103,877 311,632 155,816 77,908 38,954 19,477 58,432 29,216 14,608 7,304 3,652 1,826 913 2,740 1,370

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