λ
Harmonic Matrix

9,792,246

2 × 3 × 1632041
Abundant Even Composite

9,792,246 has digital root 3. The neighboring primes are 9792229 and 9792271; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1632041
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 19,584,504
Proper Divisor Sum 9,792,258
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9792229 ← → #9792271

Radix Representation

Decimal 9792246
Binary 100101010110101011110110 (24 bits)
Octal 0o45265366
Hexadecimal 0x956AF6

Divisor Catalog (8)

1 2 3 6 1,632,041 3,264,082 4,896,123 9,792,246

Collatz Trajectory (176 steps to reach 1)

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

9,792,246 4,896,123 14,688,370 7,344,185 22,032,556 11,016,278 5,508,139 16,524,418 8,262,209 24,786,628 12,393,314 6,196,657 18,589,972 9,294,986 4,647,493 13,942,480 6,971,240 3,485,620 1,742,810 871,405 2,614,216 1,307,108 653,554 326,777 980,332 490,166 245,083 735,250 367,625 1,102,876 551,438 275,719 827,158 413,579 1,240,738 620,369 1,861,108 930,554 465,277 1,395,832 697,916 348,958 174,479 523,438 261,719 785,158 392,579 1,177,738 588,869 1,766,608 883,304 441,652 220,826 110,413 331,240 165,620 82,810 41,405 124,216 62,108

More profiles

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