λ
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Atlas › Integer Profiles › Node 46,053,124

46,053,124

22 × 13 × 157 × 5641
Deficient Even Composite

46,053,124 factors as 2^2 × 13 × 157 × 5641. Its 24 positive divisors give a proper-divisor sum of 41,307,604, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 157 × 5641
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 87,360,728
Proper Divisor Sum 41,307,604
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #46053113 ← → #46053143

Radix Representation

Decimal 46053124
Binary 10101111101011011100000100 (26 bits)
Octal 0o257533404
Hexadecimal 0x2BEB704

Divisor Catalog (24)

1 2 4 13 26 52 157 314 628 2,041 4,082 5,641 8,164 11,282 22,564 73,333 146,666 293,332 885,637 1,771,274 3,542,548 11,513,281 23,026,562 46,053,124

Collatz Trajectory (173 steps to reach 1)

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

46,053,124 23,026,562 11,513,281 34,539,844 17,269,922 8,634,961 25,904,884 12,952,442 6,476,221 19,428,664 9,714,332 4,857,166 2,428,583 7,285,750 3,642,875 10,928,626 5,464,313 16,392,940 8,196,470 4,098,235 12,294,706 6,147,353 18,442,060 9,221,030 4,610,515 13,831,546 6,915,773 20,747,320 10,373,660 5,186,830 2,593,415 7,780,246 3,890,123 11,670,370 5,835,185 17,505,556 8,752,778 4,376,389 13,129,168 6,564,584 3,282,292 1,641,146 820,573 2,461,720 1,230,860 615,430 307,715 923,146 461,573 1,384,720 692,360 346,180 173,090 86,545 259,636 129,818 64,909 194,728 97,364 48,682

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