8,252,447

7 × 1178921

Starting at 8,252,447, the Collatz iteration reaches 1 after 243 steps. The first transition is 24757342; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 1178921

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 9,431,376

Proper Divisor Sum 1,178,929

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8252411 ← → #8252459

Radix Representation

Decimal	8252447
Binary	11111011110110000011111 (23 bits)
Octal	0o37366037
Hexadecimal	0x7DEC1F

Divisor Catalog (4)

1 7 1,178,921 8,252,447

Collatz Trajectory (243 steps to reach 1)

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

8,252,447 24,757,342 12,378,671 37,136,014 18,568,007 55,704,022 27,852,011 83,556,034 41,778,017 125,334,052 62,667,026 31,333,513 94,000,540 47,000,270 23,500,135 70,500,406 35,250,203 105,750,610 52,875,305 158,625,916 79,312,958 39,656,479 118,969,438 59,484,719 178,454,158 89,227,079 267,681,238 133,840,619 401,521,858 200,760,929 602,282,788 301,141,394 150,570,697 451,712,092 225,856,046 112,928,023 338,784,070 169,392,035 508,176,106 254,088,053 762,264,160 381,132,080 190,566,040 95,283,020 47,641,510 23,820,755 71,462,266 35,731,133 107,193,400 53,596,700 26,798,350 13,399,175 40,197,526 20,098,763 60,296,290 30,148,145 90,444,436 45,222,218 22,611,109 67,833,328

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