λ
Harmonic Matrix

3,518,834

2 × 11 × 307 × 521
Deficient Even Composite

3,518,834 has digital root 5. The neighboring primes are 3518833 and 3518849; its proper-divisor sum differs from the starting integer by -1,249,732.

Prime Factor Structure

Factorization String 2 × 11 × 307 × 521
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,787,936
Proper Divisor Sum 2,269,102
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3518833 ← → #3518849

Radix Representation

Decimal 3518834
Binary 1101011011000101110010 (22 bits)
Octal 0o15330562
Hexadecimal 0x35B172

Divisor Catalog (16)

1 2 11 22 307 521 614 1,042 3,377 5,731 6,754 11,462 159,947 319,894 1,759,417 3,518,834

Collatz Trajectory (128 steps to reach 1)

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

3,518,834 1,759,417 5,278,252 2,639,126 1,319,563 3,958,690 1,979,345 5,938,036 2,969,018 1,484,509 4,453,528 2,226,764 1,113,382 556,691 1,670,074 835,037 2,505,112 1,252,556 626,278 313,139 939,418 469,709 1,409,128 704,564 352,282 176,141 528,424 264,212 132,106 66,053 198,160 99,080 49,540 24,770 12,385 37,156 18,578 9,289 27,868 13,934 6,967 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721

More profiles

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