47,396,972

2² × 7 × 1692749

47,396,972 factors as 2^2 × 7 × 1692749. Its 12 positive divisors give a proper-divisor sum of 47,397,028, so this integer is abundant. The Collatz stopping time is 292 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 1692749

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 94,794,000

Proper Divisor Sum 47,397,028

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #47396971 ← → #47396981

Radix Representation

Decimal	47396972
Binary	10110100110011100001101100 (26 bits)
Octal	0o264634154
Hexadecimal	0x2D3386C

Divisor Catalog (12)

1 2 4 7 14 28 1,692,749 3,385,498 6,770,996 11,849,243 23,698,486 47,396,972

Collatz Trajectory (292 steps to reach 1)

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

47,396,972 23,698,486 11,849,243 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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