λ
Harmonic Matrix

5,796,921

3 × 13 × 148639
Deficient Odd Composite

5,796,921 has digital root 3. The neighboring primes are 5796913 and 5796929; its proper-divisor sum differs from the starting integer by -3,270,002.

Prime Factor Structure

Factorization String 3 × 13 × 148639
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,323,840
Proper Divisor Sum 2,526,919
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5796913 ← → #5796929

Radix Representation

Decimal 5796921
Binary 10110000111010000111001 (23 bits)
Octal 0o26072071
Hexadecimal 0x587439

Divisor Catalog (8)

1 3 13 39 148,639 445,917 1,932,307 5,796,921

Collatz Trajectory (121 steps to reach 1)

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

5,796,921 17,390,764 8,695,382 4,347,691 13,043,074 6,521,537 19,564,612 9,782,306 4,891,153 14,673,460 7,336,730 3,668,365 11,005,096 5,502,548 2,751,274 1,375,637 4,126,912 2,063,456 1,031,728 515,864 257,932 128,966 64,483 193,450 96,725 290,176 145,088 72,544 36,272 18,136 9,068 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136

More profiles

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