λ
Harmonic Matrix

3,072,621

3 × 1024207
Deficient Odd Composite

3,072,621 has digital root 3. The neighboring primes are 3072613 and 3072659; its proper-divisor sum differs from the starting integer by -2,048,410.

Prime Factor Structure

Factorization String 3 × 1024207
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,096,832
Proper Divisor Sum 1,024,211
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3072613 ← → #3072659

Radix Representation

Decimal 3072621
Binary 1011101110001001101101 (22 bits)
Octal 0o13561155
Hexadecimal 0x2EE26D

Divisor Catalog (4)

1 3 1,024,207 3,072,621

Collatz Trajectory (102 steps to reach 1)

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

3,072,621 9,217,864 4,608,932 2,304,466 1,152,233 3,456,700 1,728,350 864,175 2,592,526 1,296,263 3,888,790 1,944,395 5,833,186 2,916,593 8,749,780 4,374,890 2,187,445 6,562,336 3,281,168 1,640,584 820,292 410,146 205,073 615,220 307,610 153,805 461,416 230,708 115,354 57,677 173,032 86,516 43,258 21,629 64,888 32,444 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542

More profiles

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