λ
Harmonic Matrix

4,379,832

23 × 36 × 751
Abundant Even Composite

4,379,832 has digital root 9. The neighboring primes are 4379819 and 4379833; its proper-divisor sum differs from the starting integer by 3,569,376.

Prime Factor Structure

Factorization String 2^3 × 3^6 × 751
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 12,329,040
Proper Divisor Sum 7,949,208
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4379819 ← → #4379833

Radix Representation

Decimal 4379832
Binary 10000101101010010111000 (23 bits)
Octal 0o20552270
Hexadecimal 0x42D4B8

Divisor Catalog (56)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 751 972 1,458 1,502 1,944 2,253 2,916 3,004 4,506 5,832 6,008 6,759 9,012 13,518 18,024 20,277 27,036 40,554 54,072 60,831 81,108 121,662 162,216 182,493 243,324 364,986 486,648 547,479 729,972 1,094,958 1,459,944 2,189,916 4,379,832

Collatz Trajectory (87 steps to reach 1)

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

4,379,832 2,189,916 1,094,958 547,479 1,642,438 821,219 2,463,658 1,231,829 3,695,488 1,847,744 923,872 461,936 230,968 115,484 57,742 28,871 86,614 43,307 129,922 64,961 194,884 97,442 48,721 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130

More profiles

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