λ
Integer Codex

9,770,123

11 × 19 × 46747
Deficient Odd Composite

For 9,770,123, the 8 positive divisors have a total of 11,219,520. Removing 9,770,123 leaves 1,449,397, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 19 × 46747
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,219,520
Proper Divisor Sum 1,449,397
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9770119 ← → #9770143

Radix Representation

Decimal 9770123
Binary 100101010001010010001011 (24 bits)
Octal 0o45212213
Hexadecimal 0x95148B

Divisor Catalog (8)

1 11 19 209 46,747 514,217 888,193 9,770,123

Collatz Trajectory (114 steps to reach 1)

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

9,770,123 29,310,370 14,655,185 43,965,556 21,982,778 10,991,389 32,974,168 16,487,084 8,243,542 4,121,771 12,365,314 6,182,657 18,547,972 9,273,986 4,636,993 13,910,980 6,955,490 3,477,745 10,433,236 5,216,618 2,608,309 7,824,928 3,912,464 1,956,232 978,116 489,058 244,529 733,588 366,794 183,397 550,192 275,096 137,548 68,774 34,387 103,162 51,581 154,744 77,372 38,686 19,343 58,030 29,015 87,046 43,523 130,570 65,285 195,856 97,928 48,964 24,482 12,241 36,724 18,362 9,181 27,544 13,772 6,886 3,443 10,330

More profiles

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