λ
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6,796,804

22 × 7 × 17 × 109 × 131
Abundant Even Composite

6,796,804 factors as 2^2 × 7 × 17 × 109 × 131. Its 48 positive divisors give a proper-divisor sum of 7,839,356, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 109 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,636,160
Proper Divisor Sum 7,839,356
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6796771 ← → #6796819

Radix Representation

Decimal 6796804
Binary 11001111011011000000100 (23 bits)
Octal 0o31733004
Hexadecimal 0x67B604

Divisor Catalog (48)

1 2 4 7 14 17 28 34 68 109 119 131 218 238 262 436 476 524 763 917 1,526 1,834 1,853 2,227 3,052 3,668 3,706 4,454 7,412 8,908 12,971 14,279 15,589 25,942 28,558 31,178 51,884 57,116 62,356 99,953 199,906 242,743 399,812 485,486 970,972 1,699,201 3,398,402 6,796,804

Collatz Trajectory (178 steps to reach 1)

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

6,796,804 3,398,402 1,699,201 5,097,604 2,548,802 1,274,401 3,823,204 1,911,602 955,801 2,867,404 1,433,702 716,851 2,150,554 1,075,277 3,225,832 1,612,916 806,458 403,229 1,209,688 604,844 302,422 151,211 453,634 226,817 680,452 340,226 170,113 510,340 255,170 127,585 382,756 191,378 95,689 287,068 143,534 71,767 215,302 107,651 322,954 161,477 484,432 242,216 121,108 60,554 30,277 90,832 45,416 22,708 11,354 5,677 17,032 8,516 4,258 2,129 6,388 3,194 1,597 4,792 2,396 1,198

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