λ
Harmonic Matrix

425,718

2 × 32 × 67 × 353
Abundant Even Composite

425,718 has digital root 9. The neighboring primes are 425713 and 425779; its proper-divisor sum differs from the starting integer by 87,372.

Prime Factor Structure

Factorization String 2 × 3^2 × 67 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 938,808
Proper Divisor Sum 513,090
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #425713 ← → #425779

Radix Representation

Decimal 425718
Binary 1100111111011110110 (19 bits)
Octal 0o1477366
Hexadecimal 0x67EF6

Divisor Catalog (24)

1 2 3 6 9 18 67 134 201 353 402 603 706 1,059 1,206 2,118 3,177 6,354 23,651 47,302 70,953 141,906 212,859 425,718

Collatz Trajectory (218 steps to reach 1)

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

425,718 212,859 638,578 319,289 957,868 478,934 239,467 718,402 359,201 1,077,604 538,802 269,401 808,204 404,102 202,051 606,154 303,077 909,232 454,616 227,308 113,654 56,827 170,482 85,241 255,724 127,862 63,931 191,794 95,897 287,692 143,846 71,923 215,770 107,885 323,656 161,828 80,914 40,457 121,372 60,686 30,343 91,030 45,515 136,546 68,273 204,820 102,410 51,205 153,616 76,808 38,404 19,202 9,601 28,804 14,402 7,201 21,604 10,802 5,401 16,204

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