λ
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Atlas › Integer Profiles › Node 14,809,752

14,809,752

23 × 32 × 103 × 1997
Abundant Even Composite

14,809,752 factors as 2^3 × 3^2 × 103 × 1997. Its 48 positive divisors give a proper-divisor sum of 25,709,688, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 103 × 1997
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 40,519,440
Proper Divisor Sum 25,709,688
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #14809709 ← → #14809757

Radix Representation

Decimal 14809752
Binary 111000011111101010011000 (24 bits)
Octal 0o70375230
Hexadecimal 0xE1FA98

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1,236 1,854 1,997 2,472 3,708 3,994 5,991 7,416 7,988 11,982 15,976 17,973 23,964 35,946 47,928 71,892 143,784 205,691 411,382 617,073 822,764 1,234,146 1,645,528 1,851,219 2,468,292 3,702,438 4,936,584 7,404,876 14,809,752

Collatz Trajectory (86 steps to reach 1)

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

14,809,752 7,404,876 3,702,438 1,851,219 5,553,658 2,776,829 8,330,488 4,165,244 2,082,622 1,041,311 3,123,934 1,561,967 4,685,902 2,342,951 7,028,854 3,514,427 10,543,282 5,271,641 15,814,924 7,907,462 3,953,731 11,861,194 5,930,597 17,791,792 8,895,896 4,447,948 2,223,974 1,111,987 3,335,962 1,667,981 5,003,944 2,501,972 1,250,986 625,493 1,876,480 938,240 469,120 234,560 117,280 58,640 29,320 14,660 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612

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