λ
Harmonic Matrix

2,921,469

3 × 973823
Deficient Odd Composite

2,921,469 has digital root 6. The neighboring primes are 2921423 and 2921507; its proper-divisor sum differs from the starting integer by -1,947,642.

Prime Factor Structure

Factorization String 3 × 973823
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,895,296
Proper Divisor Sum 973,827
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2921423 ← → #2921507

Radix Representation

Decimal 2921469
Binary 1011001001001111111101 (22 bits)
Octal 0o13111775
Hexadecimal 0x2C93FD

Divisor Catalog (4)

1 3 973,823 2,921,469

Collatz Trajectory (200 steps to reach 1)

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

2,921,469 8,764,408 4,382,204 2,191,102 1,095,551 3,286,654 1,643,327 4,929,982 2,464,991 7,394,974 3,697,487 11,092,462 5,546,231 16,638,694 8,319,347 24,958,042 12,479,021 37,437,064 18,718,532 9,359,266 4,679,633 14,038,900 7,019,450 3,509,725 10,529,176 5,264,588 2,632,294 1,316,147 3,948,442 1,974,221 5,922,664 2,961,332 1,480,666 740,333 2,221,000 1,110,500 555,250 277,625 832,876 416,438 208,219 624,658 312,329 936,988 468,494 234,247 702,742 351,371 1,054,114 527,057 1,581,172 790,586 395,293 1,185,880 592,940 296,470 148,235 444,706 222,353 667,060

More profiles

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