λ
Harmonic Matrix

2,800,888

23 × 350111
Deficient Even Composite

2,800,888 has digital root 7. The neighboring primes are 2800883 and 2800921; its proper-divisor sum differs from the starting integer by -350,096.

Prime Factor Structure

Factorization String 2^3 × 350111
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,251,680
Proper Divisor Sum 2,450,792
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2800883 ← → #2800921

Radix Representation

Decimal 2800888
Binary 1010101011110011111000 (22 bits)
Octal 0o12536370
Hexadecimal 0x2ABCF8

Divisor Catalog (8)

1 2 4 8 350,111 700,222 1,400,444 2,800,888

Collatz Trajectory (138 steps to reach 1)

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

2,800,888 1,400,444 700,222 350,111 1,050,334 525,167 1,575,502 787,751 2,363,254 1,181,627 3,544,882 1,772,441 5,317,324 2,658,662 1,329,331 3,987,994 1,993,997 5,981,992 2,990,996 1,495,498 747,749 2,243,248 1,121,624 560,812 280,406 140,203 420,610 210,305 630,916 315,458 157,729 473,188 236,594 118,297 354,892 177,446 88,723 266,170 133,085 399,256 199,628 99,814 49,907 149,722 74,861 224,584 112,292 56,146 28,073 84,220 42,110 21,055 63,166 31,583 94,750 47,375 142,126 71,063 213,190 106,595

More profiles

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