7,148,493

3⁴ × 11 × 71 × 113

Starting at 7,148,493, the Collatz iteration reaches 1 after 98 steps. The first transition is 21445480; the starting value is odd with 40 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 11 × 71 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 11,918,016

Proper Divisor Sum 4,769,523

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7148489 ← → #7148497

Radix Representation

Decimal	7148493
Binary	11011010001001111001101 (23 bits)
Octal	0o33211715
Hexadecimal	0x6D13CD

Divisor Catalog (40)

1 3 9 11 27 33 71 81 99 113 213 297 339 639 781 891 1,017 1,243 1,917 2,343 3,051 3,729 5,751 7,029 8,023 9,153 11,187 21,087 24,069 33,561 63,261 72,207 88,253 100,683 216,621 264,759 649,863 794,277 2,382,831 7,148,493

Collatz Trajectory (98 steps to reach 1)

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

7,148,493 21,445,480 10,722,740 5,361,370 2,680,685 8,042,056 4,021,028 2,010,514 1,005,257 3,015,772 1,507,886 753,943 2,261,830 1,130,915 3,392,746 1,696,373 5,089,120 2,544,560 1,272,280 636,140 318,070 159,035 477,106 238,553 715,660 357,830 178,915 536,746 268,373 805,120 402,560 201,280 100,640 50,320 25,160 12,580 6,290 3,145 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564

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