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Atlas › Integer Profiles › Node 29,263,192

29,263,192

23 × 72 × 19 × 3929
Abundant Even Composite

29,263,192 factors as 2^3 × 7^2 × 19 × 3929. Its 48 positive divisors give a proper-divisor sum of 37,939,808, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 19 × 3929
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 67,203,000
Proper Divisor Sum 37,939,808
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #29263181 ← → #29263193

Radix Representation

Decimal 29263192
Binary 1101111101000010101011000 (25 bits)
Octal 0o157502530
Hexadecimal 0x1BE8558

Divisor Catalog (48)

1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1,064 1,862 3,724 3,929 7,448 7,858 15,716 27,503 31,432 55,006 74,651 110,012 149,302 192,521 220,024 298,604 385,042 522,557 597,208 770,084 1,045,114 1,540,168 2,090,228 3,657,899 4,180,456 7,315,798 14,631,596 29,263,192

Collatz Trajectory (61 steps to reach 1)

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

29,263,192 14,631,596 7,315,798 3,657,899 10,973,698 5,486,849 16,460,548 8,230,274 4,115,137 12,345,412 6,172,706 3,086,353 9,259,060 4,629,530 2,314,765 6,944,296 3,472,148 1,736,074 868,037 2,604,112 1,302,056 651,028 325,514 162,757 488,272 244,136 122,068 61,034 30,517 91,552 45,776 22,888 11,444 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4

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