λ
Harmonic Matrix

4,724,342

2 × 7 × 337453
Deficient Even Composite

4,724,342 has digital root 8. The neighboring primes are 4724339 and 4724353; its proper-divisor sum differs from the starting integer by -1,349,788.

Prime Factor Structure

Factorization String 2 × 7 × 337453
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,098,896
Proper Divisor Sum 3,374,554
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4724339 ← → #4724353

Radix Representation

Decimal 4724342
Binary 10010000001011001110110 (23 bits)
Octal 0o22013166
Hexadecimal 0x481676

Divisor Catalog (8)

1 2 7 14 337,453 674,906 2,362,171 4,724,342

Collatz Trajectory (224 steps to reach 1)

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

4,724,342 2,362,171 7,086,514 3,543,257 10,629,772 5,314,886 2,657,443 7,972,330 3,986,165 11,958,496 5,979,248 2,989,624 1,494,812 747,406 373,703 1,121,110 560,555 1,681,666 840,833 2,522,500 1,261,250 630,625 1,891,876 945,938 472,969 1,418,908 709,454 354,727 1,064,182 532,091 1,596,274 798,137 2,394,412 1,197,206 598,603 1,795,810 897,905 2,693,716 1,346,858 673,429 2,020,288 1,010,144 505,072 252,536 126,268 63,134 31,567 94,702 47,351 142,054 71,027 213,082 106,541 319,624 159,812 79,906 39,953 119,860 59,930 29,965

More profiles

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