λ
Harmonic Matrix

2,400,850

2 × 52 × 48017
Deficient Even Composite

2,400,850 has digital root 1. The neighboring primes are 2400841 and 2400851; its proper-divisor sum differs from the starting integer by -336,026.

Prime Factor Structure

Factorization String 2 × 5^2 × 48017
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,465,674
Proper Divisor Sum 2,064,824
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2400841 ← → #2400851

Radix Representation

Decimal 2400850
Binary 1001001010001001010010 (22 bits)
Octal 0o11121122
Hexadecimal 0x24A252

Divisor Catalog (12)

1 2 5 10 25 50 48,017 96,034 240,085 480,170 1,200,425 2,400,850

Collatz Trajectory (148 steps to reach 1)

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

2,400,850 1,200,425 3,601,276 1,800,638 900,319 2,700,958 1,350,479 4,051,438 2,025,719 6,077,158 3,038,579 9,115,738 4,557,869 13,673,608 6,836,804 3,418,402 1,709,201 5,127,604 2,563,802 1,281,901 3,845,704 1,922,852 961,426 480,713 1,442,140 721,070 360,535 1,081,606 540,803 1,622,410 811,205 2,433,616 1,216,808 608,404 304,202 152,101 456,304 228,152 114,076 57,038 28,519 85,558 42,779 128,338 64,169 192,508 96,254 48,127 144,382 72,191 216,574 108,287 324,862 162,431 487,294 243,647 730,942 365,471 1,096,414 548,207

More profiles

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