2,332,093

29² × 47 × 59

Starting at 2,332,093, the Collatz iteration reaches 1 after 117 steps. The first transition is 6996280; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 29^2 × 47 × 59

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,508,480

Proper Divisor Sum 176,387

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2332061 ← → #2332103

Radix Representation

Decimal	2332093
Binary	1000111001010110111101 (22 bits)
Octal	0o10712675
Hexadecimal	0x2395BD

Divisor Catalog (12)

1 29 47 59 841 1,363 1,711 2,773 39,527 49,619 80,417 2,332,093

Collatz Trajectory (117 steps to reach 1)

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

2,332,093 6,996,280 3,498,140 1,749,070 874,535 2,623,606 1,311,803 3,935,410 1,967,705 5,903,116 2,951,558 1,475,779 4,427,338 2,213,669 6,641,008 3,320,504 1,660,252 830,126 415,063 1,245,190 622,595 1,867,786 933,893 2,801,680 1,400,840 700,420 350,210 175,105 525,316 262,658 131,329 393,988 196,994 98,497 295,492 147,746 73,873 221,620 110,810 55,405 166,216 83,108 41,554 20,777 62,332 31,166 15,583 46,750 23,375 70,126 35,063 105,190 52,595 157,786 78,893 236,680 118,340 59,170 29,585 88,756

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