λ
Integer Codex

9,128,199

3 × 41 × 47 × 1579
Deficient Odd Composite

For 9,128,199, the 16 positive divisors have a total of 12,741,120. Removing 9,128,199 leaves 3,612,921, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 41 × 47 × 1579
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,741,120
Proper Divisor Sum 3,612,921
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9128177 ← → #9128209

Radix Representation

Decimal 9128199
Binary 100010110100100100000111 (24 bits)
Octal 0o42644407
Hexadecimal 0x8B4907

Divisor Catalog (16)

1 3 41 47 123 141 1,579 1,927 4,737 5,781 64,739 74,213 194,217 222,639 3,042,733 9,128,199

Collatz Trajectory (269 steps to reach 1)

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

9,128,199 27,384,598 13,692,299 41,076,898 20,538,449 61,615,348 30,807,674 15,403,837 46,211,512 23,105,756 11,552,878 5,776,439 17,329,318 8,664,659 25,993,978 12,996,989 38,990,968 19,495,484 9,747,742 4,873,871 14,621,614 7,310,807 21,932,422 10,966,211 32,898,634 16,449,317 49,347,952 24,673,976 12,336,988 6,168,494 3,084,247 9,252,742 4,626,371 13,879,114 6,939,557 20,818,672 10,409,336 5,204,668 2,602,334 1,301,167 3,903,502 1,951,751 5,855,254 2,927,627 8,782,882 4,391,441 13,174,324 6,587,162 3,293,581 9,880,744 4,940,372 2,470,186 1,235,093 3,705,280 1,852,640 926,320 463,160 231,580 115,790 57,895

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