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Atlas › Integer Profiles › Node 26,921,320

26,921,320

23 × 5 × 149 × 4517
Abundant Even Composite

26,921,320 factors as 2^3 × 5 × 149 × 4517. Its 32 positive divisors give a proper-divisor sum of 34,071,680, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 149 × 4517
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 60,993,000
Proper Divisor Sum 34,071,680
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #26921303 ← → #26921327

Radix Representation

Decimal 26921320
Binary 1100110101100100101101000 (25 bits)
Octal 0o146544550
Hexadecimal 0x19AC968

Divisor Catalog (32)

1 2 4 5 8 10 20 40 149 298 596 745 1,192 1,490 2,980 4,517 5,960 9,034 18,068 22,585 36,136 45,170 90,340 180,680 673,033 1,346,066 2,692,132 3,365,165 5,384,264 6,730,330 13,460,660 26,921,320

Collatz Trajectory (74 steps to reach 1)

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

26,921,320 13,460,660 6,730,330 3,365,165 10,095,496 5,047,748 2,523,874 1,261,937 3,785,812 1,892,906 946,453 2,839,360 1,419,680 709,840 354,920 177,460 88,730 44,365 133,096 66,548 33,274 16,637 49,912 24,956 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44 22

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