λ
Harmonic Matrix

4,245,262

2 × 72 × 43319
Deficient Even Composite

4,245,262 has digital root 7. The neighboring primes are 4245259 and 4245289; its proper-divisor sum differs from the starting integer by -1,082,804.

Prime Factor Structure

Factorization String 2 × 7^2 × 43319
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,407,720
Proper Divisor Sum 3,162,458
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4245259 ← → #4245289

Radix Representation

Decimal 4245262
Binary 10000001100011100001110 (23 bits)
Octal 0o20143416
Hexadecimal 0x40C70E

Divisor Catalog (12)

1 2 7 14 49 98 43,319 86,638 303,233 606,466 2,122,631 4,245,262

Collatz Trajectory (211 steps to reach 1)

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

4,245,262 2,122,631 6,367,894 3,183,947 9,551,842 4,775,921 14,327,764 7,163,882 3,581,941 10,745,824 5,372,912 2,686,456 1,343,228 671,614 335,807 1,007,422 503,711 1,511,134 755,567 2,266,702 1,133,351 3,400,054 1,700,027 5,100,082 2,550,041 7,650,124 3,825,062 1,912,531 5,737,594 2,868,797 8,606,392 4,303,196 2,151,598 1,075,799 3,227,398 1,613,699 4,841,098 2,420,549 7,261,648 3,630,824 1,815,412 907,706 453,853 1,361,560 680,780 340,390 170,195 510,586 255,293 765,880 382,940 191,470 95,735 287,206 143,603 430,810 215,405 646,216 323,108 161,554

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