λ
Harmonic Matrix

5,635,118

2 × 31 × 97 × 937
Deficient Even Composite

5,635,118 has digital root 2. The neighboring primes are 5635103 and 5635127; its proper-divisor sum differs from the starting integer by -2,445,532.

Prime Factor Structure

Factorization String 2 × 31 × 97 × 937
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,824,704
Proper Divisor Sum 3,189,586
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5635103 ← → #5635127

Radix Representation

Decimal 5635118
Binary 10101011111110000101110 (23 bits)
Octal 0o25376056
Hexadecimal 0x55FC2E

Divisor Catalog (16)

1 2 31 62 97 194 937 1,874 3,007 6,014 29,047 58,094 90,889 181,778 2,817,559 5,635,118

Collatz Trajectory (201 steps to reach 1)

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

5,635,118 2,817,559 8,452,678 4,226,339 12,679,018 6,339,509 19,018,528 9,509,264 4,754,632 2,377,316 1,188,658 594,329 1,782,988 891,494 445,747 1,337,242 668,621 2,005,864 1,002,932 501,466 250,733 752,200 376,100 188,050 94,025 282,076 141,038 70,519 211,558 105,779 317,338 158,669 476,008 238,004 119,002 59,501 178,504 89,252 44,626 22,313 66,940 33,470 16,735 50,206 25,103 75,310 37,655 112,966 56,483 169,450 84,725 254,176 127,088 63,544 31,772 15,886 7,943 23,830 11,915 35,746

More profiles

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