7,234,375

5⁶ × 463

Starting at 7,234,375, the Collatz iteration reaches 1 after 235 steps. The first transition is 21703126; the starting value is odd with 14 positive divisors.

Prime Factor Structure

Factorization String 5^6 × 463

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 9,062,384

Proper Divisor Sum 1,828,009

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7234361 ← → #7234387

Radix Representation

Decimal	7234375
Binary	11011100110001101000111 (23 bits)
Octal	0o33461507
Hexadecimal	0x6E6347

Divisor Catalog (14)

1 5 25 125 463 625 2,315 3,125 11,575 15,625 57,875 289,375 1,446,875 7,234,375

Collatz Trajectory (235 steps to reach 1)

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

7,234,375 21,703,126 10,851,563 32,554,690 16,277,345 48,832,036 24,416,018 12,208,009 36,624,028 18,312,014 9,156,007 27,468,022 13,734,011 41,202,034 20,601,017 61,803,052 30,901,526 15,450,763 46,352,290 23,176,145 69,528,436 34,764,218 17,382,109 52,146,328 26,073,164 13,036,582 6,518,291 19,554,874 9,777,437 29,332,312 14,666,156 7,333,078 3,666,539 10,999,618 5,499,809 16,499,428 8,249,714 4,124,857 12,374,572 6,187,286 3,093,643 9,280,930 4,640,465 13,921,396 6,960,698 3,480,349 10,441,048 5,220,524 2,610,262 1,305,131 3,915,394 1,957,697 5,873,092 2,936,546 1,468,273 4,404,820 2,202,410 1,101,205 3,303,616 1,651,808

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