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Atlas › Integer Profiles › Node 14,024,824

14,024,824

23 × 11 × 197 × 809
Abundant Even Composite

14,024,824 factors as 2^3 × 11 × 197 × 809. Its 32 positive divisors give a proper-divisor sum of 14,843,576, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 197 × 809
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 28,868,400
Proper Divisor Sum 14,843,576
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #14024821 ← → #14024849

Radix Representation

Decimal 14024824
Binary 110101100000000001111000 (24 bits)
Octal 0o65400170
Hexadecimal 0xD60078

Divisor Catalog (32)

1 2 4 8 11 22 44 88 197 394 788 809 1,576 1,618 2,167 3,236 4,334 6,472 8,668 8,899 17,336 17,798 35,596 71,192 159,373 318,746 637,492 1,274,984 1,753,103 3,506,206 7,012,412 14,024,824

Collatz Trajectory (148 steps to reach 1)

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

14,024,824 7,012,412 3,506,206 1,753,103 5,259,310 2,629,655 7,888,966 3,944,483 11,833,450 5,916,725 17,750,176 8,875,088 4,437,544 2,218,772 1,109,386 554,693 1,664,080 832,040 416,020 208,010 104,005 312,016 156,008 78,004 39,002 19,501 58,504 29,252 14,626 7,313 21,940 10,970 5,485 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413

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