λ
Harmonic Matrix

4,463,034

2 × 3 × 127 × 5857
Abundant Even Composite

4,463,034 has digital root 6. The neighboring primes are 4463033 and 4463057; its proper-divisor sum differs from the starting integer by 71,820.

Prime Factor Structure

Factorization String 2 × 3 × 127 × 5857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,997,888
Proper Divisor Sum 4,534,854
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4463033 ← → #4463057

Radix Representation

Decimal 4463034
Binary 10001000001100110111010 (23 bits)
Octal 0o21014672
Hexadecimal 0x4419BA

Divisor Catalog (16)

1 2 3 6 127 254 381 762 5,857 11,714 17,571 35,142 743,839 1,487,678 2,231,517 4,463,034

Collatz Trajectory (167 steps to reach 1)

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

4,463,034 2,231,517 6,694,552 3,347,276 1,673,638 836,819 2,510,458 1,255,229 3,765,688 1,882,844 941,422 470,711 1,412,134 706,067 2,118,202 1,059,101 3,177,304 1,588,652 794,326 397,163 1,191,490 595,745 1,787,236 893,618 446,809 1,340,428 670,214 335,107 1,005,322 502,661 1,507,984 753,992 376,996 188,498 94,249 282,748 141,374 70,687 212,062 106,031 318,094 159,047 477,142 238,571 715,714 357,857 1,073,572 536,786 268,393 805,180 402,590 201,295 603,886 301,943 905,830 452,915 1,358,746 679,373 2,038,120 1,019,060

More profiles

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