6,721,188

2² × 3 × 17 × 47 × 701

6,721,188 has digital root 6. The neighboring primes are 6721181 and 6721189; its proper-divisor sum differs from the starting integer by 3,540,408.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 47 × 701

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,982,784

Proper Divisor Sum 10,261,596

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6721181 ← → #6721189

Radix Representation

Decimal	6721188
Binary	11001101000111010100100 (23 bits)
Octal	0o31507244
Hexadecimal	0x668EA4

Divisor Catalog (48)

1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 564 701 799 1,402 1,598 2,103 2,397 2,804 3,196 4,206 4,794 8,412 9,588 11,917 23,834 32,947 35,751 47,668 65,894 71,502 98,841 131,788 143,004 197,682 395,364 560,099 1,120,198 1,680,297 2,240,396 3,360,594 6,721,188

Collatz Trajectory (147 steps to reach 1)

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

6,721,188 3,360,594 1,680,297 5,040,892 2,520,446 1,260,223 3,780,670 1,890,335 5,671,006 2,835,503 8,506,510 4,253,255 12,759,766 6,379,883 19,139,650 9,569,825 28,709,476 14,354,738 7,177,369 21,532,108 10,766,054 5,383,027 16,149,082 8,074,541 24,223,624 12,111,812 6,055,906 3,027,953 9,083,860 4,541,930 2,270,965 6,812,896 3,406,448 1,703,224 851,612 425,806 212,903 638,710 319,355 958,066 479,033 1,437,100 718,550 359,275 1,077,826 538,913 1,616,740 808,370 404,185 1,212,556 606,278 303,139 909,418 454,709 1,364,128 682,064 341,032 170,516 85,258 42,629

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