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Atlas › Integer Profiles › Node 45,532,448

45,532,448

25 × 13 × 109453
Abundant Even Composite

45,532,448 factors as 2^5 × 13 × 109453. Its 24 positive divisors give a proper-divisor sum of 51,005,980, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 109453
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 96,538,428
Proper Divisor Sum 51,005,980
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #45532447 ← → #45532451

Radix Representation

Decimal 45532448
Binary 10101101101100010100100000 (26 bits)
Octal 0o255542440
Hexadecimal 0x2B6C520

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 109,453 218,906 437,812 875,624 1,422,889 1,751,248 2,845,778 3,502,496 5,691,556 11,383,112 22,766,224 45,532,448

Collatz Trajectory (217 steps to reach 1)

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

45,532,448 22,766,224 11,383,112 5,691,556 2,845,778 1,422,889 4,268,668 2,134,334 1,067,167 3,201,502 1,600,751 4,802,254 2,401,127 7,203,382 3,601,691 10,805,074 5,402,537 16,207,612 8,103,806 4,051,903 12,155,710 6,077,855 18,233,566 9,116,783 27,350,350 13,675,175 41,025,526 20,512,763 61,538,290 30,769,145 92,307,436 46,153,718 23,076,859 69,230,578 34,615,289 103,845,868 51,922,934 25,961,467 77,884,402 38,942,201 116,826,604 58,413,302 29,206,651 87,619,954 43,809,977 131,429,932 65,714,966 32,857,483 98,572,450 49,286,225 147,858,676 73,929,338 36,964,669 110,894,008 55,447,004 27,723,502 13,861,751 41,585,254 20,792,627 62,377,882

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