λ
Harmonic Matrix

9,896,136

23 × 3 × 412339
Abundant Even Composite

9,896,136 has digital root 6. The neighboring primes are 9896123 and 9896143; its proper-divisor sum differs from the starting integer by 4,948,128.

Prime Factor Structure

Factorization String 2^3 × 3 × 412339
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 24,740,400
Proper Divisor Sum 14,844,264
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9896123 ← → #9896143

Radix Representation

Decimal 9896136
Binary 100101110000000011001000 (24 bits)
Octal 0o45600310
Hexadecimal 0x9700C8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 412,339 824,678 1,237,017 1,649,356 2,474,034 3,298,712 4,948,068 9,896,136

Collatz Trajectory (207 steps to reach 1)

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

9,896,136 4,948,068 2,474,034 1,237,017 3,711,052 1,855,526 927,763 2,783,290 1,391,645 4,174,936 2,087,468 1,043,734 521,867 1,565,602 782,801 2,348,404 1,174,202 587,101 1,761,304 880,652 440,326 220,163 660,490 330,245 990,736 495,368 247,684 123,842 61,921 185,764 92,882 46,441 139,324 69,662 34,831 104,494 52,247 156,742 78,371 235,114 117,557 352,672 176,336 88,168 44,084 22,042 11,021 33,064 16,532 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745

More profiles

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