λ
Harmonic Matrix

2,400,854

2 × 47 × 25541
Deficient Even Composite

2,400,854 has digital root 5. The neighboring primes are 2400851 and 2400863; its proper-divisor sum differs from the starting integer by -1,123,660.

Prime Factor Structure

Factorization String 2 × 47 × 25541
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,678,048
Proper Divisor Sum 1,277,194
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2400851 ← → #2400863

Radix Representation

Decimal 2400854
Binary 1001001010001001010110 (22 bits)
Octal 0o11121126
Hexadecimal 0x24A256

Divisor Catalog (8)

1 2 47 94 25,541 51,082 1,200,427 2,400,854

Collatz Trajectory (91 steps to reach 1)

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

2,400,854 1,200,427 3,601,282 1,800,641 5,401,924 2,700,962 1,350,481 4,051,444 2,025,722 1,012,861 3,038,584 1,519,292 759,646 379,823 1,139,470 569,735 1,709,206 854,603 2,563,810 1,281,905 3,845,716 1,922,858 961,429 2,884,288 1,442,144 721,072 360,536 180,268 90,134 45,067 135,202 67,601 202,804 101,402 50,701 152,104 76,052 38,026 19,013 57,040 28,520 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542

More profiles

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