λ
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9,508,482

2 × 33 × 37 × 4759
Abundant Even Composite

9,508,482 factors as 2 × 3^3 × 37 × 4759. Its 32 positive divisors give a proper-divisor sum of 12,197,118, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 37 × 4759
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,705,600
Proper Divisor Sum 12,197,118
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9508481 ← → #9508483

Radix Representation

Decimal 9508482
Binary 100100010001011010000010 (24 bits)
Octal 0o44213202
Hexadecimal 0x911682

Divisor Catalog (32)

1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1,998 4,759 9,518 14,277 28,554 42,831 85,662 128,493 176,083 256,986 352,166 528,249 1,056,498 1,584,747 3,169,494 4,754,241 9,508,482

Collatz Trajectory (163 steps to reach 1)

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

9,508,482 4,754,241 14,262,724 7,131,362 3,565,681 10,697,044 5,348,522 2,674,261 8,022,784 4,011,392 2,005,696 1,002,848 501,424 250,712 125,356 62,678 31,339 94,018 47,009 141,028 70,514 35,257 105,772 52,886 26,443 79,330 39,665 118,996 59,498 29,749 89,248 44,624 22,312 11,156 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47

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