47,401,523

13 × 19 × 43 × 4463

47,401,523 factors as 13 × 19 × 43 × 4463. Its 16 positive divisors give a proper-divisor sum of 7,594,957, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 13 × 19 × 43 × 4463

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 54,996,480

Proper Divisor Sum 7,594,957

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #47401493 ← → #47401577

Radix Representation

Decimal	47401523
Binary	10110100110100101000110011 (26 bits)
Octal	0o264645063
Hexadecimal	0x2D34A33

Divisor Catalog (16)

1 13 19 43 247 559 817 4,463 10,621 58,019 84,797 191,909 1,102,361 2,494,817 3,646,271 47,401,523

Collatz Trajectory (124 steps to reach 1)

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

47,401,523 142,204,570 71,102,285 213,306,856 106,653,428 53,326,714 26,663,357 79,990,072 39,995,036 19,997,518 9,998,759 29,996,278 14,998,139 44,994,418 22,497,209 67,491,628 33,745,814 16,872,907 50,618,722 25,309,361 75,928,084 37,964,042 18,982,021 56,946,064 28,473,032 14,236,516 7,118,258 3,559,129 10,677,388 5,338,694 2,669,347 8,008,042 4,004,021 12,012,064 6,006,032 3,003,016 1,501,508 750,754 375,377 1,126,132 563,066 281,533 844,600 422,300 211,150 105,575 316,726 158,363 475,090 237,545 712,636 356,318 178,159 534,478 267,239 801,718 400,859 1,202,578 601,289 1,803,868

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