λ
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Atlas › Integer Profiles › Node 48,522,189

48,522,189

3 × 43 × 47 × 53 × 151
Deficient Odd Composite

48,522,189 factors as 3 × 43 × 47 × 53 × 151. Its 32 positive divisors give a proper-divisor sum of 20,818,995, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 3 × 43 × 47 × 53 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 69,341,184
Proper Divisor Sum 20,818,995
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #48522179 ← → #48522197

Radix Representation

Decimal 48522189
Binary 10111001000110001111001101 (26 bits)
Octal 0o271061715
Hexadecimal 0x2E463CD

Divisor Catalog (32)

1 3 43 47 53 129 141 151 159 453 2,021 2,279 2,491 6,063 6,493 6,837 7,097 7,473 8,003 19,479 21,291 24,009 107,113 305,171 321,339 344,129 376,141 915,513 1,032,387 1,128,423 16,174,063 48,522,189

Collatz Trajectory (93 steps to reach 1)

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

48,522,189 145,566,568 72,783,284 36,391,642 18,195,821 54,587,464 27,293,732 13,646,866 6,823,433 20,470,300 10,235,150 5,117,575 15,352,726 7,676,363 23,029,090 11,514,545 34,543,636 17,271,818 8,635,909 25,907,728 12,953,864 6,476,932 3,238,466 1,619,233 4,857,700 2,428,850 1,214,425 3,643,276 1,821,638 910,819 2,732,458 1,366,229 4,098,688 2,049,344 1,024,672 512,336 256,168 128,084 64,042 32,021 96,064 48,032 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238

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