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Atlas › Integer Profiles › Node 9,744,948

9,744,948

22 × 34 × 19 × 1583
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^4 × 19 × 1583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 26,832,960
Proper Divisor Sum 17,088,012
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9744937 ← → #9744979

Radix Representation

Decimal 9744948
Binary 100101001011001000110100 (24 bits)
Octal 0o45131064
Hexadecimal 0x94B234

Divisor Catalog (60)

1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1,026 1,539 1,583 2,052 3,078 3,166 4,749 6,156 6,332 9,498 14,247 18,996 28,494 30,077 42,741 56,988 60,154 85,482 90,231 120,308 128,223 170,964 180,462 256,446 270,693 360,924 512,892 541,386 812,079 1,082,772 1,624,158 2,436,237 3,248,316 4,872,474 9,744,948

Collatz Trajectory (70 steps to reach 1)

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

9,744,948 4,872,474 2,436,237 7,308,712 3,654,356 1,827,178 913,589 2,740,768 1,370,384 685,192 342,596 171,298 85,649 256,948 128,474 64,237 192,712 96,356 48,178 24,089 72,268 36,134 18,067 54,202 27,101 81,304 40,652 20,326 10,163 30,490 15,245 45,736 22,868 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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