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Atlas › Integer Profiles › Node 11,625,348

11,625,348

22 × 3 × 72 × 17 × 1163
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 17 × 1163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 33,439,392
Proper Divisor Sum 21,814,044
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #11625347 ← → #11625401

Radix Representation

Decimal 11625348
Binary 101100010110001110000100 (24 bits)
Octal 0o54261604
Hexadecimal 0xB16384

Divisor Catalog (60 of 72)

1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1,163 1,428 1,666 2,326 2,499 3,332 3,489 4,652 4,998 6,978 8,141 9,996 13,956 16,282 19,771 24,423 32,564 39,542 48,846 56,987 59,313 79,084 97,692 113,974 118,626 138,397 170,961 227,948 237,252 276,794

Collatz Trajectory (277 steps to reach 1)

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

11,625,348 5,812,674 2,906,337 8,719,012 4,359,506 2,179,753 6,539,260 3,269,630 1,634,815 4,904,446 2,452,223 7,356,670 3,678,335 11,035,006 5,517,503 16,552,510 8,276,255 24,828,766 12,414,383 37,243,150 18,621,575 55,864,726 27,932,363 83,797,090 41,898,545 125,695,636 62,847,818 31,423,909 94,271,728 47,135,864 23,567,932 11,783,966 5,891,983 17,675,950 8,837,975 26,513,926 13,256,963 39,770,890 19,885,445 59,656,336 29,828,168 14,914,084 7,457,042 3,728,521 11,185,564 5,592,782 2,796,391 8,389,174 4,194,587 12,583,762 6,291,881 18,875,644 9,437,822 4,718,911 14,156,734 7,078,367 21,235,102 10,617,551 31,852,654 15,926,327

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