7,201,880

2³ × 5 × 7 × 17² × 89

7,201,880 factors as 2^3 × 5 × 7 × 17^2 × 89. Its 96 positive divisors give a proper-divisor sum of 12,691,720, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 17^2 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 19,893,600

Proper Divisor Sum 12,691,720

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7201871 ← → #7201919

Radix Representation

Decimal	7201880
Binary	11011011110010001011000 (23 bits)
Octal	0o33362130
Hexadecimal	0x6DE458

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 89 119 136 140 170 178 238 280 289 340 356 445 476 578 595 623 680 712 890 952 1,156 1,190 1,246 1,445 1,513 1,780 2,023 2,312 2,380 2,492 2,890 3,026 3,115 3,560 4,046 4,760 4,984 5,780 6,052 6,230 7,565 8,092

Collatz Trajectory (191 steps to reach 1)

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

7,201,880 3,600,940 1,800,470 900,235 2,700,706 1,350,353 4,051,060 2,025,530 1,012,765 3,038,296 1,519,148 759,574 379,787 1,139,362 569,681 1,709,044 854,522 427,261 1,281,784 640,892 320,446 160,223 480,670 240,335 721,006 360,503 1,081,510 540,755 1,622,266 811,133 2,433,400 1,216,700 608,350 304,175 912,526 456,263 1,368,790 684,395 2,053,186 1,026,593 3,079,780 1,539,890 769,945 2,309,836 1,154,918 577,459 1,732,378 866,189 2,598,568 1,299,284 649,642 324,821 974,464 487,232 243,616 121,808 60,904 30,452 15,226 7,613

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