λ
Harmonic Matrix

2,388,696

23 × 3 × 99529
Abundant Even Composite

2,388,696 has digital root 6. The neighboring primes are 2388689 and 2388697; its proper-divisor sum differs from the starting integer by 1,194,408.

Prime Factor Structure

Factorization String 2^3 × 3 × 99529
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,971,800
Proper Divisor Sum 3,583,104
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2388689 ← → #2388697

Radix Representation

Decimal 2388696
Binary 1001000111001011011000 (22 bits)
Octal 0o11071330
Hexadecimal 0x2472D8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 99,529 199,058 298,587 398,116 597,174 796,232 1,194,348 2,388,696

Collatz Trajectory (143 steps to reach 1)

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

2,388,696 1,194,348 597,174 298,587 895,762 447,881 1,343,644 671,822 335,911 1,007,734 503,867 1,511,602 755,801 2,267,404 1,133,702 566,851 1,700,554 850,277 2,550,832 1,275,416 637,708 318,854 159,427 478,282 239,141 717,424 358,712 179,356 89,678 44,839 134,518 67,259 201,778 100,889 302,668 151,334 75,667 227,002 113,501 340,504 170,252 85,126 42,563 127,690 63,845 191,536 95,768 47,884 23,942 11,971 35,914 17,957 53,872 26,936 13,468 6,734 3,367 10,102 5,051 15,154

More profiles

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