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Atlas › Integer Profiles › Node 9,409,708

9,409,708

22 × 7 × 11 × 137 × 223
Abundant Even Composite

9,409,708 factors as 2^2 × 7 × 11 × 137 × 223. Its 48 positive divisors give a proper-divisor sum of 11,363,156, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 137 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,772,864
Proper Divisor Sum 11,363,156
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9409667 ← → #9409711

Radix Representation

Decimal 9409708
Binary 100011111001010010101100 (24 bits)
Octal 0o43712254
Hexadecimal 0x8F94AC

Divisor Catalog (48)

1 2 4 7 11 14 22 28 44 77 137 154 223 274 308 446 548 892 959 1,507 1,561 1,918 2,453 3,014 3,122 3,836 4,906 6,028 6,244 9,812 10,549 17,171 21,098 30,551 34,342 42,196 61,102 68,684 122,204 213,857 336,061 427,714 672,122 855,428 1,344,244 2,352,427 4,704,854 9,409,708

Collatz Trajectory (150 steps to reach 1)

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

9,409,708 4,704,854 2,352,427 7,057,282 3,528,641 10,585,924 5,292,962 2,646,481 7,939,444 3,969,722 1,984,861 5,954,584 2,977,292 1,488,646 744,323 2,232,970 1,116,485 3,349,456 1,674,728 837,364 418,682 209,341 628,024 314,012 157,006 78,503 235,510 117,755 353,266 176,633 529,900 264,950 132,475 397,426 198,713 596,140 298,070 149,035 447,106 223,553 670,660 335,330 167,665 502,996 251,498 125,749 377,248 188,624 94,312 47,156 23,578 11,789 35,368 17,684 8,842 4,421 13,264 6,632 3,316 1,658

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