λ
Harmonic Matrix

7,489,469

13 × 17 × 33889
Deficient Odd Composite

7,489,469 has digital root 2. The neighboring primes are 7489463 and 7489481; its proper-divisor sum differs from the starting integer by -6,438,658.

Prime Factor Structure

Factorization String 13 × 17 × 33889
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,540,280
Proper Divisor Sum 1,050,811
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #7489463 ← → #7489481

Radix Representation

Decimal 7489469
Binary 11100100100011110111101 (23 bits)
Octal 0o34443675
Hexadecimal 0x7247BD

Divisor Catalog (8)

1 13 17 221 33,889 440,557 576,113 7,489,469

Collatz Trajectory (160 steps to reach 1)

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

7,489,469 22,468,408 11,234,204 5,617,102 2,808,551 8,425,654 4,212,827 12,638,482 6,319,241 18,957,724 9,478,862 4,739,431 14,218,294 7,109,147 21,327,442 10,663,721 31,991,164 15,995,582 7,997,791 23,993,374 11,996,687 35,990,062 17,995,031 53,985,094 26,992,547 80,977,642 40,488,821 121,466,464 60,733,232 30,366,616 15,183,308 7,591,654 3,795,827 11,387,482 5,693,741 17,081,224 8,540,612 4,270,306 2,135,153 6,405,460 3,202,730 1,601,365 4,804,096 2,402,048 1,201,024 600,512 300,256 150,128 75,064 37,532 18,766 9,383 28,150 14,075 42,226 21,113 63,340 31,670 15,835 47,506

More profiles

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