47,396,973

3 × 13 × 71 × 17117

47,396,973 factors as 3 × 13 × 71 × 17117. Its 16 positive divisors give a proper-divisor sum of 21,622,803, so this integer is deficient. The Collatz stopping time is 292 steps.

Prime Factor Structure

Factorization String 3 × 13 × 71 × 17117

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 69,019,776

Proper Divisor Sum 21,622,803

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #47396971 ← → #47396981

Radix Representation

Decimal	47396973
Binary	10110100110011100001101101 (26 bits)
Octal	0o264634155
Hexadecimal	0x2D3386D

Divisor Catalog (16)

1 3 13 39 71 213 923 2,769 17,117 51,351 222,521 667,563 1,215,307 3,645,921 15,798,991 47,396,973

Collatz Trajectory (292 steps to reach 1)

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

47,396,973 142,190,920 71,095,460 35,547,730 17,773,865 53,321,596 26,660,798 13,330,399 39,991,198 19,995,599 59,986,798 29,993,399 89,980,198 44,990,099 134,970,298 67,485,149 202,455,448 101,227,724 50,613,862 25,306,931 75,920,794 37,960,397 113,881,192 56,940,596 28,470,298 14,235,149 42,705,448 21,352,724 10,676,362 5,338,181 16,014,544 8,007,272 4,003,636 2,001,818 1,000,909 3,002,728 1,501,364 750,682 375,341 1,126,024 563,012 281,506 140,753 422,260 211,130 105,565 316,696 158,348 79,174 39,587 118,762 59,381 178,144 89,072 44,536 22,268 11,134 5,567 16,702 8,351

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