7,222,008

2³ × 3 × 17 × 31 × 571

7,222,008 has the prime decomposition 2^3 × 3 × 17 × 31 × 571. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 31 × 571

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 19,768,320

Proper Divisor Sum 12,546,312

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7222001 ← → #7222009

Radix Representation

Decimal	7222008
Binary	11011100011001011111000 (23 bits)
Octal	0o33431370
Hexadecimal	0x6E32F8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 571 744 1,054 1,142 1,581 1,713 2,108 2,284 3,162 3,426 4,216 4,568 6,324 6,852 9,707 12,648 13,704 17,701 19,414 29,121 35,402 38,828 53,103 58,242 70,804 77,656 106,206 116,484 141,608 212,412 232,968 300,917 424,824 601,834 902,751 1,203,668

Collatz Trajectory (90 steps to reach 1)

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

7,222,008 3,611,004 1,805,502 902,751 2,708,254 1,354,127 4,062,382 2,031,191 6,093,574 3,046,787 9,140,362 4,570,181 13,710,544 6,855,272 3,427,636 1,713,818 856,909 2,570,728 1,285,364 642,682 321,341 964,024 482,012 241,006 120,503 361,510 180,755 542,266 271,133 813,400 406,700 203,350 101,675 305,026 152,513 457,540 228,770 114,385 343,156 171,578 85,789 257,368 128,684 64,342 32,171 96,514 48,257 144,772 72,386 36,193 108,580 54,290 27,145 81,436 40,718 20,359 61,078 30,539 91,618 45,809

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