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3,374,412

22 × 3 × 31 × 47 × 193
Abundant Even Composite

3,374,412 factors as 2^2 × 3 × 31 × 47 × 193. Its 48 positive divisors give a proper-divisor sum of 4,969,140, so this integer is abundant. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 47 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,343,552
Proper Divisor Sum 4,969,140
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3374407 ← → #3374431

Radix Representation

Decimal 3374412
Binary 1100110111110101001100 (22 bits)
Octal 0o14676514
Hexadecimal 0x337D4C

Divisor Catalog (48)

1 2 3 4 6 12 31 47 62 93 94 124 141 186 188 193 282 372 386 564 579 772 1,158 1,457 2,316 2,914 4,371 5,828 5,983 8,742 9,071 11,966 17,484 17,949 18,142 23,932 27,213 35,898 36,284 54,426 71,796 108,852 281,201 562,402 843,603 1,124,804 1,687,206 3,374,412

Collatz Trajectory (252 steps to reach 1)

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

3,374,412 1,687,206 843,603 2,530,810 1,265,405 3,796,216 1,898,108 949,054 474,527 1,423,582 711,791 2,135,374 1,067,687 3,203,062 1,601,531 4,804,594 2,402,297 7,206,892 3,603,446 1,801,723 5,405,170 2,702,585 8,107,756 4,053,878 2,026,939 6,080,818 3,040,409 9,121,228 4,560,614 2,280,307 6,840,922 3,420,461 10,261,384 5,130,692 2,565,346 1,282,673 3,848,020 1,924,010 962,005 2,886,016 1,443,008 721,504 360,752 180,376 90,188 45,094 22,547 67,642 33,821 101,464 50,732 25,366 12,683 38,050 19,025 57,076 28,538 14,269 42,808 21,404

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