2,947,779

3³ × 43 × 2539

Starting at 2,947,779, the Collatz iteration reaches 1 after 120 steps. The first transition is 8843338; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 43 × 2539

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,470,400

Proper Divisor Sum 1,522,621

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #2947741 ← → #2947781

Radix Representation

Decimal	2947779
Binary	1011001111101011000011 (22 bits)
Octal	0o13175303
Hexadecimal	0x2CFAC3

Divisor Catalog (16)

1 3 9 27 43 129 387 1,161 2,539 7,617 22,851 68,553 109,177 327,531 982,593 2,947,779

Collatz Trajectory (120 steps to reach 1)

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

2,947,779 8,843,338 4,421,669 13,265,008 6,632,504 3,316,252 1,658,126 829,063 2,487,190 1,243,595 3,730,786 1,865,393 5,596,180 2,798,090 1,399,045 4,197,136 2,098,568 1,049,284 524,642 262,321 786,964 393,482 196,741 590,224 295,112 147,556 73,778 36,889 110,668 55,334 27,667 83,002 41,501 124,504 62,252 31,126 15,563 46,690 23,345 70,036 35,018 17,509 52,528 26,264 13,132 6,566 3,283 9,850 4,925 14,776 7,388 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118

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