λ
Harmonic Matrix

5,023,759

13 × 601 × 643
Deficient Odd Composite

5,023,759 has digital root 4. The neighboring primes are 5023751 and 5023769; its proper-divisor sum differs from the starting integer by -4,619,886.

Prime Factor Structure

Factorization String 13 × 601 × 643
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,427,632
Proper Divisor Sum 403,873
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5023751 ← → #5023769

Radix Representation

Decimal 5023759
Binary 10011001010100000001111 (23 bits)
Octal 0o23124017
Hexadecimal 0x4CA80F

Divisor Catalog (8)

1 13 601 643 7,813 8,359 386,443 5,023,759

Collatz Trajectory (131 steps to reach 1)

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

5,023,759 15,071,278 7,535,639 22,606,918 11,303,459 33,910,378 16,955,189 50,865,568 25,432,784 12,716,392 6,358,196 3,179,098 1,589,549 4,768,648 2,384,324 1,192,162 596,081 1,788,244 894,122 447,061 1,341,184 670,592 335,296 167,648 83,824 41,912 20,956 10,478 5,239 15,718 7,859 23,578 11,789 35,368 17,684 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890

More profiles

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