λ
Harmonic Matrix

7,377,929

13 × 567533
Deficient Odd Composite

7,377,929 has digital root 8. The neighboring primes are 7377899 and 7377943; its proper-divisor sum differs from the starting integer by -6,810,382.

Prime Factor Structure

Factorization String 13 × 567533
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,945,476
Proper Divisor Sum 567,547
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7377899 ← → #7377943

Radix Representation

Decimal 7377929
Binary 11100001001010000001001 (23 bits)
Octal 0o34112011
Hexadecimal 0x709409

Divisor Catalog (4)

1 13 567,533 7,377,929

Collatz Trajectory (204 steps to reach 1)

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

7,377,929 22,133,788 11,066,894 5,533,447 16,600,342 8,300,171 24,900,514 12,450,257 37,350,772 18,675,386 9,337,693 28,013,080 14,006,540 7,003,270 3,501,635 10,504,906 5,252,453 15,757,360 7,878,680 3,939,340 1,969,670 984,835 2,954,506 1,477,253 4,431,760 2,215,880 1,107,940 553,970 276,985 830,956 415,478 207,739 623,218 311,609 934,828 467,414 233,707 701,122 350,561 1,051,684 525,842 262,921 788,764 394,382 197,191 591,574 295,787 887,362 443,681 1,331,044 665,522 332,761 998,284 499,142 249,571 748,714 374,357 1,123,072 561,536 280,768

More profiles

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