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Atlas › Integer Profiles › Node 6,723,904

6,723,904

26 × 11 × 9551
Abundant Even Composite

6,723,904 factors as 2^6 × 11 × 9551. Its 28 positive divisors give a proper-divisor sum of 7,833,344, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 9551
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 14,557,248
Proper Divisor Sum 7,833,344
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6723901 ← → #6723907

Radix Representation

Decimal 6723904
Binary 11001101001100101000000 (23 bits)
Octal 0o31514500
Hexadecimal 0x669940

Divisor Catalog (28)

1 2 4 8 11 16 22 32 44 64 88 176 352 704 9,551 19,102 38,204 76,408 105,061 152,816 210,122 305,632 420,244 611,264 840,488 1,680,976 3,361,952 6,723,904

Collatz Trajectory (85 steps to reach 1)

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

6,723,904 3,361,952 1,680,976 840,488 420,244 210,122 105,061 315,184 157,592 78,796 39,398 19,699 59,098 29,549 88,648 44,324 22,162 11,081 33,244 16,622 8,311 24,934 12,467 37,402 18,701 56,104 28,052 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

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