47,742,905

5 × 7² × 194869

47,742,905 factors as 5 × 7^2 × 194869. Its 12 positive divisors give a proper-divisor sum of 18,902,635, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 194869

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 66,645,540

Proper Divisor Sum 18,902,635

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #47742887 ← → #47742907

Radix Representation

Decimal	47742905
Binary	10110110000111111110111001 (26 bits)
Octal	0o266077671
Hexadecimal	0x2D87FB9

Divisor Catalog (12)

1 5 7 35 49 245 194,869 974,345 1,364,083 6,820,415 9,548,581 47,742,905

Collatz Trajectory (142 steps to reach 1)

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

47,742,905 143,228,716 71,614,358 35,807,179 107,421,538 53,710,769 161,132,308 80,566,154 40,283,077 120,849,232 60,424,616 30,212,308 15,106,154 7,553,077 22,659,232 11,329,616 5,664,808 2,832,404 1,416,202 708,101 2,124,304 1,062,152 531,076 265,538 132,769 398,308 199,154 99,577 298,732 149,366 74,683 224,050 112,025 336,076 168,038 84,019 252,058 126,029 378,088 189,044 94,522 47,261 141,784 70,892 35,446 17,723 53,170 26,585 79,756 39,878 19,939 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804 1,402

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