2,329,833

3 × 11 × 17 × 4153

Starting at 2,329,833, the Collatz iteration reaches 1 after 179 steps. The first transition is 6989500; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 17 × 4153

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,589,056

Proper Divisor Sum 1,259,223

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2329819 ← → #2329849

Radix Representation

Decimal	2329833
Binary	1000111000110011101001 (22 bits)
Octal	0o10706351
Hexadecimal	0x238CE9

Divisor Catalog (16)

1 3 11 17 33 51 187 561 4,153 12,459 45,683 70,601 137,049 211,803 776,611 2,329,833

Collatz Trajectory (179 steps to reach 1)

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

2,329,833 6,989,500 3,494,750 1,747,375 5,242,126 2,621,063 7,863,190 3,931,595 11,794,786 5,897,393 17,692,180 8,846,090 4,423,045 13,269,136 6,634,568 3,317,284 1,658,642 829,321 2,487,964 1,243,982 621,991 1,865,974 932,987 2,798,962 1,399,481 4,198,444 2,099,222 1,049,611 3,148,834 1,574,417 4,723,252 2,361,626 1,180,813 3,542,440 1,771,220 885,610 442,805 1,328,416 664,208 332,104 166,052 83,026 41,513 124,540 62,270 31,135 93,406 46,703 140,110 70,055 210,166 105,083 315,250 157,625 472,876 236,438 118,219 354,658 177,329 531,988

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