λ
Harmonic Matrix

3,339,240

23 × 3 × 5 × 27827
Abundant Even Composite

3,339,240 has digital root 6. The neighboring primes are 3339229 and 3339247; its proper-divisor sum differs from the starting integer by 3,339,600.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 27827
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,018,080
Proper Divisor Sum 6,678,840
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3339229 ← → #3339247

Radix Representation

Decimal 3339240
Binary 1100101111001111101000 (22 bits)
Octal 0o14571750
Hexadecimal 0x32F3E8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 27,827 55,654 83,481 111,308 139,135 166,962 222,616 278,270 333,924 417,405 556,540 667,848 834,810 1,113,080 1,669,620 3,339,240

Collatz Trajectory (89 steps to reach 1)

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

3,339,240 1,669,620 834,810 417,405 1,252,216 626,108 313,054 156,527 469,582 234,791 704,374 352,187 1,056,562 528,281 1,584,844 792,422 396,211 1,188,634 594,317 1,782,952 891,476 445,738 222,869 668,608 334,304 167,152 83,576 41,788 20,894 10,447 31,342 15,671 47,014 23,507 70,522 35,261 105,784 52,892 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630 22,315 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488 28,244 14,122 7,061 21,184

More profiles

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