λ
Modular Archive

9,164,309

7 × 11 × 17 × 7001
Deficient Odd Composite

The decimal integer 9,164,309 is 100010111101011000010101 in binary (24 bits), 42753025 in octal and 8BD615 in hexadecimal. Its digit sum is 32.

Prime Factor Structure

Factorization String 7 × 11 × 17 × 7001
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,099,456
Proper Divisor Sum 2,935,147
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9164303 ← → #9164317

Radix Representation

Decimal 9164309
Binary 100010111101011000010101 (24 bits)
Octal 0o42753025
Hexadecimal 0x8BD615

Divisor Catalog (16)

1 7 11 17 77 119 187 1,309 7,001 49,007 77,011 119,017 539,077 833,119 1,309,187 9,164,309

Collatz Trajectory (57 steps to reach 1)

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

9,164,309 27,492,928 13,746,464 6,873,232 3,436,616 1,718,308 859,154 429,577 1,288,732 644,366 322,183 966,550 483,275 1,449,826 724,913 2,174,740 1,087,370 543,685 1,631,056 815,528 407,764 203,882 101,941 305,824 152,912 76,456 38,228 19,114 9,557 28,672 14,336 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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