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Atlas › Integer Profiles › Node 9,562,092

9,562,092

22 × 3 × 17 × 19 × 2467
Abundant Even Composite

9,562,092 factors as 2^2 × 3 × 17 × 19 × 2467. Its 48 positive divisors give a proper-divisor sum of 15,315,348, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 19 × 2467
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,877,440
Proper Divisor Sum 15,315,348
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9562057 ← → #9562093

Radix Representation

Decimal 9562092
Binary 100100011110011111101100 (24 bits)
Octal 0o44363754
Hexadecimal 0x91E7EC

Divisor Catalog (48)

1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1,292 1,938 2,467 3,876 4,934 7,401 9,868 14,802 29,604 41,939 46,873 83,878 93,746 125,817 140,619 167,756 187,492 251,634 281,238 503,268 562,476 796,841 1,593,682 2,390,523 3,187,364 4,781,046 9,562,092

Collatz Trajectory (101 steps to reach 1)

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

9,562,092 4,781,046 2,390,523 7,171,570 3,585,785 10,757,356 5,378,678 2,689,339 8,068,018 4,034,009 12,102,028 6,051,014 3,025,507 9,076,522 4,538,261 13,614,784 6,807,392 3,403,696 1,701,848 850,924 425,462 212,731 638,194 319,097 957,292 478,646 239,323 717,970 358,985 1,076,956 538,478 269,239 807,718 403,859 1,211,578 605,789 1,817,368 908,684 454,342 227,171 681,514 340,757 1,022,272 511,136 255,568 127,784 63,892 31,946 15,973 47,920 23,960 11,980 5,990 2,995 8,986 4,493 13,480 6,740 3,370 1,685

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