7,243,263

3⁴ × 223 × 401

7,243,263 factors as 3^4 × 223 × 401. Its 20 positive divisors give a proper-divisor sum of 3,652,545, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3^4 × 223 × 401

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 10,895,808

Proper Divisor Sum 3,652,545

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7243261 ← → #7243267

Radix Representation

Decimal	7243263
Binary	11011101000010111111111 (23 bits)
Octal	0o33502777
Hexadecimal	0x6E85FF

Divisor Catalog (20)

Collatz Trajectory (142 steps to reach 1)

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

7,243,263 21,729,790 10,864,895 32,594,686 16,297,343 48,892,030 24,446,015 73,338,046 36,669,023 110,007,070 55,003,535 165,010,606 82,505,303 247,515,910 123,757,955 371,273,866 185,636,933 556,910,800 278,455,400 139,227,700 69,613,850 34,806,925 104,420,776 52,210,388 26,105,194 13,052,597 39,157,792 19,578,896 9,789,448 4,894,724 2,447,362 1,223,681 3,671,044 1,835,522 917,761 2,753,284 1,376,642 688,321 2,064,964 1,032,482 516,241 1,548,724 774,362 387,181 1,161,544 580,772 290,386 145,193 435,580 217,790 108,895 326,686 163,343 490,030 245,015 735,046 367,523 1,102,570 551,285 1,653,856

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