λ
Harmonic Matrix

4,173,438

2 × 3 × 695573
Abundant Even Composite

4,173,438 has digital root 3. The neighboring primes are 4173413 and 4173467; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 695573
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,346,888
Proper Divisor Sum 4,173,450
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4173413 ← → #4173467

Radix Representation

Decimal 4173438
Binary 1111111010111001111110 (22 bits)
Octal 0o17727176
Hexadecimal 0x3FAE7E

Divisor Catalog (8)

1 2 3 6 695,573 1,391,146 2,086,719 4,173,438

Collatz Trajectory (136 steps to reach 1)

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

4,173,438 2,086,719 6,260,158 3,130,079 9,390,238 4,695,119 14,085,358 7,042,679 21,128,038 10,564,019 31,692,058 15,846,029 47,538,088 23,769,044 11,884,522 5,942,261 17,826,784 8,913,392 4,456,696 2,228,348 1,114,174 557,087 1,671,262 835,631 2,506,894 1,253,447 3,760,342 1,880,171 5,640,514 2,820,257 8,460,772 4,230,386 2,115,193 6,345,580 3,172,790 1,586,395 4,759,186 2,379,593 7,138,780 3,569,390 1,784,695 5,354,086 2,677,043 8,031,130 4,015,565 12,046,696 6,023,348 3,011,674 1,505,837 4,517,512 2,258,756 1,129,378 564,689 1,694,068 847,034 423,517 1,270,552 635,276 317,638 158,819

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