λ
Harmonic Matrix

5,546,359

72 × 13 × 8707
Deficient Odd Composite

5,546,359 has digital root 1. The neighboring primes are 5546293 and 5546377; its proper-divisor sum differs from the starting integer by -4,143,734.

Prime Factor Structure

Factorization String 7^2 × 13 × 8707
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,948,984
Proper Divisor Sum 1,402,625
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5546293 ← → #5546377

Radix Representation

Decimal 5546359
Binary 10101001010000101110111 (23 bits)
Octal 0o25120567
Hexadecimal 0x54A177

Divisor Catalog (12)

1 7 13 49 91 637 8,707 60,949 113,191 426,643 792,337 5,546,359

Collatz Trajectory (351 steps to reach 1)

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

5,546,359 16,639,078 8,319,539 24,958,618 12,479,309 37,437,928 18,718,964 9,359,482 4,679,741 14,039,224 7,019,612 3,509,806 1,754,903 5,264,710 2,632,355 7,897,066 3,948,533 11,845,600 5,922,800 2,961,400 1,480,700 740,350 370,175 1,110,526 555,263 1,665,790 832,895 2,498,686 1,249,343 3,748,030 1,874,015 5,622,046 2,811,023 8,433,070 4,216,535 12,649,606 6,324,803 18,974,410 9,487,205 28,461,616 14,230,808 7,115,404 3,557,702 1,778,851 5,336,554 2,668,277 8,004,832 4,002,416 2,001,208 1,000,604 500,302 250,151 750,454 375,227 1,125,682 562,841 1,688,524 844,262 422,131 1,266,394

More profiles

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