2,348,340

2² × 3 × 5 × 39139

Starting at 2,348,340, the Collatz iteration reaches 1 after 179 steps. The first transition is 1174170; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 39139

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,575,520

Proper Divisor Sum 4,227,180

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2348321 ← → #2348347

Radix Representation

Decimal	2348340
Binary	1000111101010100110100 (22 bits)
Octal	0o10752464
Hexadecimal	0x23D534

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 39,139 78,278 117,417 156,556 195,695 234,834 391,390 469,668 587,085 782,780 1,174,170 2,348,340

Collatz Trajectory (179 steps to reach 1)

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

2,348,340 1,174,170 587,085 1,761,256 880,628 440,314 220,157 660,472 330,236 165,118 82,559 247,678 123,839 371,518 185,759 557,278 278,639 835,918 417,959 1,253,878 626,939 1,880,818 940,409 2,821,228 1,410,614 705,307 2,115,922 1,057,961 3,173,884 1,586,942 793,471 2,380,414 1,190,207 3,570,622 1,785,311 5,355,934 2,677,967 8,033,902 4,016,951 12,050,854 6,025,427 18,076,282 9,038,141 27,114,424 13,557,212 6,778,606 3,389,303 10,167,910 5,083,955 15,251,866 7,625,933 22,877,800 11,438,900 5,719,450 2,859,725 8,579,176 4,289,588 2,144,794 1,072,397 3,217,192

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