λ
Harmonic Matrix

4,520,759

17 × 431 × 617
Deficient Odd Composite

4,520,759 has digital root 5. The neighboring primes are 4520753 and 4520767; its proper-divisor sum differs from the starting integer by -4,235,950.

Prime Factor Structure

Factorization String 17 × 431 × 617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,805,568
Proper Divisor Sum 284,809
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4520753 ← → #4520767

Radix Representation

Decimal 4520759
Binary 10001001111101100110111 (23 bits)
Octal 0o21175467
Hexadecimal 0x44FB37

Divisor Catalog (8)

1 17 431 617 7,327 10,489 265,927 4,520,759

Collatz Trajectory (87 steps to reach 1)

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

4,520,759 13,562,278 6,781,139 20,343,418 10,171,709 30,515,128 15,257,564 7,628,782 3,814,391 11,443,174 5,721,587 17,164,762 8,582,381 25,747,144 12,873,572 6,436,786 3,218,393 9,655,180 4,827,590 2,413,795 7,241,386 3,620,693 10,862,080 5,431,040 2,715,520 1,357,760 678,880 339,440 169,720 84,860 42,430 21,215 63,646 31,823 95,470 47,735 143,206 71,603 214,810 107,405 322,216 161,108 80,554 40,277 120,832 60,416 30,208 15,104 7,552 3,776 1,888 944 472 236 118 59 178 89 268 134

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