λ
Harmonic Matrix

3,439,062

2 × 32 × 112 × 1579
Abundant Even Composite

3,439,062 has digital root 9. The neighboring primes are 3439013 and 3439063; its proper-divisor sum differs from the starting integer by 1,317,336.

Prime Factor Structure

Factorization String 2 × 3^2 × 11^2 × 1579
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,195,460
Proper Divisor Sum 4,756,398
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3439013 ← → #3439063

Radix Representation

Decimal 3439062
Binary 1101000111100111010110 (22 bits)
Octal 0o15074726
Hexadecimal 0x3479D6

Divisor Catalog (36)

1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1,089 1,579 2,178 3,158 4,737 9,474 14,211 17,369 28,422 34,738 52,107 104,214 156,321 191,059 312,642 382,118 573,177 1,146,354 1,719,531 3,439,062

Collatz Trajectory (314 steps to reach 1)

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

3,439,062 1,719,531 5,158,594 2,579,297 7,737,892 3,868,946 1,934,473 5,803,420 2,901,710 1,450,855 4,352,566 2,176,283 6,528,850 3,264,425 9,793,276 4,896,638 2,448,319 7,344,958 3,672,479 11,017,438 5,508,719 16,526,158 8,263,079 24,789,238 12,394,619 37,183,858 18,591,929 55,775,788 27,887,894 13,943,947 41,831,842 20,915,921 62,747,764 31,373,882 15,686,941 47,060,824 23,530,412 11,765,206 5,882,603 17,647,810 8,823,905 26,471,716 13,235,858 6,617,929 19,853,788 9,926,894 4,963,447 14,890,342 7,445,171 22,335,514 11,167,757 33,503,272 16,751,636 8,375,818 4,187,909 12,563,728 6,281,864 3,140,932 1,570,466 785,233

More profiles

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