λ
Harmonic Matrix

2,400,143

2400143
Deficient Odd Prime

2,400,143 has digital root 5. The neighboring primes are 2400109 and 2400157; its proper-divisor sum differs from the starting integer by -2,400,142.

Prime Factor Structure

Factorization String 2400143
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,400,144
Proper Divisor Sum 1
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #2400109 ← → #2400157

Radix Representation

Decimal 2400143
Binary 1001001001111110001111 (22 bits)
Octal 0o11117617
Hexadecimal 0x249F8F

Divisor Catalog (2)

Collatz Trajectory (192 steps to reach 1)

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

2,400,143 7,200,430 3,600,215 10,800,646 5,400,323 16,200,970 8,100,485 24,301,456 12,150,728 6,075,364 3,037,682 1,518,841 4,556,524 2,278,262 1,139,131 3,417,394 1,708,697 5,126,092 2,563,046 1,281,523 3,844,570 1,922,285 5,766,856 2,883,428 1,441,714 720,857 2,162,572 1,081,286 540,643 1,621,930 810,965 2,432,896 1,216,448 608,224 304,112 152,056 76,028 38,014 19,007 57,022 28,511 85,534 42,767 128,302 64,151 192,454 96,227 288,682 144,341 433,024 216,512 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226

More profiles

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