7,538,287

43 × 175309

Starting at 7,538,287, the Collatz iteration reaches 1 after 173 steps. The first transition is 22614862; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 43 × 175309

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,713,640

Proper Divisor Sum 175,353

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7538281 ← → #7538303

Radix Representation

Decimal	7538287
Binary	11100110000011001101111 (23 bits)
Octal	0o34603157
Hexadecimal	0x73066F

Divisor Catalog (4)

1 43 175,309 7,538,287

Collatz Trajectory (173 steps to reach 1)

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

7,538,287 22,614,862 11,307,431 33,922,294 16,961,147 50,883,442 25,441,721 76,325,164 38,162,582 19,081,291 57,243,874 28,621,937 85,865,812 42,932,906 21,466,453 64,399,360 32,199,680 16,099,840 8,049,920 4,024,960 2,012,480 1,006,240 503,120 251,560 125,780 62,890 31,445 94,336 47,168 23,584 11,792 5,896 2,948 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333

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