47,000,807

7 × 1289 × 5209

47,000,807 factors as 7 × 1289 × 5209. Its 8 positive divisors give a proper-divisor sum of 6,766,393, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 7 × 1289 × 5209

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 53,767,200

Proper Divisor Sum 6,766,393

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #47000797 ← → #47000819

Radix Representation

Decimal	47000807
Binary	10110011010010110011100111 (26 bits)
Octal	0o263226347
Hexadecimal	0x2CD2CE7

Divisor Catalog (8)

1 7 1,289 5,209 9,023 36,463 6,714,401 47,000,807

Collatz Trajectory (155 steps to reach 1)

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

47,000,807 141,002,422 70,501,211 211,503,634 105,751,817 317,255,452 158,627,726 79,313,863 237,941,590 118,970,795 356,912,386 178,456,193 535,368,580 267,684,290 133,842,145 401,526,436 200,763,218 100,381,609 301,144,828 150,572,414 75,286,207 225,858,622 112,929,311 338,787,934 169,393,967 508,181,902 254,090,951 762,272,854 381,136,427 1,143,409,282 571,704,641 1,715,113,924 857,556,962 428,778,481 1,286,335,444 643,167,722 321,583,861 964,751,584 482,375,792 241,187,896 120,593,948 60,296,974 30,148,487 90,445,462 45,222,731 135,668,194 67,834,097 203,502,292 101,751,146 50,875,573 152,626,720 76,313,360 38,156,680 19,078,340 9,539,170 4,769,585 14,308,756 7,154,378 3,577,189 10,731,568

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