λ
Harmonic Matrix

2,366,815

5 × 11 × 23 × 1871
Deficient Odd Composite

2,366,815 has digital root 4. The neighboring primes are 2366809 and 2366827; its proper-divisor sum differs from the starting integer by -1,498,814.

Prime Factor Structure

Factorization String 5 × 11 × 23 × 1871
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,234,816
Proper Divisor Sum 868,001
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2366809 ← → #2366827

Radix Representation

Decimal 2366815
Binary 1001000001110101011111 (22 bits)
Octal 0o11016537
Hexadecimal 0x241D5F

Divisor Catalog (16)

1 5 11 23 55 115 253 1,265 1,871 9,355 20,581 43,033 102,905 215,165 473,363 2,366,815

Collatz Trajectory (122 steps to reach 1)

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

2,366,815 7,100,446 3,550,223 10,650,670 5,325,335 15,976,006 7,988,003 23,964,010 11,982,005 35,946,016 17,973,008 8,986,504 4,493,252 2,246,626 1,123,313 3,369,940 1,684,970 842,485 2,527,456 1,263,728 631,864 315,932 157,966 78,983 236,950 118,475 355,426 177,713 533,140 266,570 133,285 399,856 199,928 99,964 49,982 24,991 74,974 37,487 112,462 56,231 168,694 84,347 253,042 126,521 379,564 189,782 94,891 284,674 142,337 427,012 213,506 106,753 320,260 160,130 80,065 240,196 120,098 60,049 180,148 90,074

More profiles

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