3,314,460

2² × 3 × 5 × 37 × 1493

Starting at 3,314,460, the Collatz iteration reaches 1 after 71 steps. The first transition is 1657230; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 37 × 1493

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,537,696

Proper Divisor Sum 6,223,236

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3314459 ← → #3314471

Radix Representation

Decimal	3314460
Binary	1100101001001100011100 (22 bits)
Octal	0o14511434
Hexadecimal	0x32931C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1,110 1,493 2,220 2,986 4,479 5,972 7,465 8,958 14,930 17,916 22,395 29,860 44,790 55,241 89,580 110,482 165,723 220,964 276,205 331,446 552,410 662,892 828,615 1,104,820 1,657,230 3,314,460

Collatz Trajectory (71 steps to reach 1)

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

3,314,460 1,657,230 828,615 2,485,846 1,242,923 3,728,770 1,864,385 5,593,156 2,796,578 1,398,289 4,194,868 2,097,434 1,048,717 3,146,152 1,573,076 786,538 393,269 1,179,808 589,904 294,952 147,476 73,738 36,869 110,608 55,304 27,652 13,826 6,913 20,740 10,370 5,185 15,556 7,778 3,889 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17

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