5,506,263

3² × 7 × 71 × 1231

5,506,263 has the prime decomposition 3^2 × 7 × 71 × 1231. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 71 × 1231

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,225,216

Proper Divisor Sum 3,718,953

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5506231 ← → #5506271

Radix Representation

Decimal	5506263
Binary	10101000000010011010111 (23 bits)
Octal	0o25002327
Hexadecimal	0x5404D7

Divisor Catalog (24)

1 3 7 9 21 63 71 213 497 639 1,231 1,491 3,693 4,473 8,617 11,079 25,851 77,553 87,401 262,203 611,807 786,609 1,835,421 5,506,263

Collatz Trajectory (170 steps to reach 1)

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

5,506,263 16,518,790 8,259,395 24,778,186 12,389,093 37,167,280 18,583,640 9,291,820 4,645,910 2,322,955 6,968,866 3,484,433 10,453,300 5,226,650 2,613,325 7,839,976 3,919,988 1,959,994 979,997 2,939,992 1,469,996 734,998 367,499 1,102,498 551,249 1,653,748 826,874 413,437 1,240,312 620,156 310,078 155,039 465,118 232,559 697,678 348,839 1,046,518 523,259 1,569,778 784,889 2,354,668 1,177,334 588,667 1,766,002 883,001 2,649,004 1,324,502 662,251 1,986,754 993,377 2,980,132 1,490,066 745,033 2,235,100 1,117,550 558,775 1,676,326 838,163 2,514,490 1,257,245

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