7,302,249

3² × 47 × 61 × 283

Starting at 7,302,249, the Collatz iteration reaches 1 after 248 steps. The first transition is 21906748; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 47 × 61 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,987,392

Proper Divisor Sum 3,685,143

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7302241 ← → #7302259

Radix Representation

Decimal	7302249
Binary	11011110110110001101001 (23 bits)
Octal	0o33666151
Hexadecimal	0x6F6C69

Divisor Catalog (24)

1 3 9 47 61 141 183 283 423 549 849 2,547 2,867 8,601 13,301 17,263 25,803 39,903 51,789 119,709 155,367 811,361 2,434,083 7,302,249

Collatz Trajectory (248 steps to reach 1)

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

7,302,249 21,906,748 10,953,374 5,476,687 16,430,062 8,215,031 24,645,094 12,322,547 36,967,642 18,483,821 55,451,464 27,725,732 13,862,866 6,931,433 20,794,300 10,397,150 5,198,575 15,595,726 7,797,863 23,393,590 11,696,795 35,090,386 17,545,193 52,635,580 26,317,790 13,158,895 39,476,686 19,738,343 59,215,030 29,607,515 88,822,546 44,411,273 133,233,820 66,616,910 33,308,455 99,925,366 49,962,683 149,888,050 74,944,025 224,832,076 112,416,038 56,208,019 168,624,058 84,312,029 252,936,088 126,468,044 63,234,022 31,617,011 94,851,034 47,425,517 142,276,552 71,138,276 35,569,138 17,784,569 53,353,708 26,676,854 13,338,427 40,015,282 20,007,641 60,022,924

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