λ
Harmonic Matrix

2,996,272

24 × 401 × 467
Deficient Even Composite

2,996,272 has digital root 1. The neighboring primes are 2996263 and 2996291; its proper-divisor sum differs from the starting integer by -160,328.

Prime Factor Structure

Factorization String 2^4 × 401 × 467
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,832,216
Proper Divisor Sum 2,835,944
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2996263 ← → #2996291

Radix Representation

Decimal 2996272
Binary 1011011011100000110000 (22 bits)
Octal 0o13334060
Hexadecimal 0x2DB830

Divisor Catalog (20)

1 2 4 8 16 401 467 802 934 1,604 1,868 3,208 3,736 6,416 7,472 187,267 374,534 749,068 1,498,136 2,996,272

Collatz Trajectory (182 steps to reach 1)

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

2,996,272 1,498,136 749,068 374,534 187,267 561,802 280,901 842,704 421,352 210,676 105,338 52,669 158,008 79,004 39,502 19,751 59,254 29,627 88,882 44,441 133,324 66,662 33,331 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530

More profiles

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