λ
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13,705,648

24 × 11 × 43 × 1811
Abundant Even Composite

13,705,648 factors as 2^4 × 11 × 43 × 1811. Its 40 positive divisors give a proper-divisor sum of 15,953,168, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 43 × 1811
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 29,658,816
Proper Divisor Sum 15,953,168
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #13705633 ← → #13705667

Radix Representation

Decimal 13705648
Binary 110100010010000110110000 (24 bits)
Octal 0o64220660
Hexadecimal 0xD121B0

Divisor Catalog (40)

1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1,811 1,892 3,622 3,784 7,244 7,568 14,488 19,921 28,976 39,842 77,873 79,684 155,746 159,368 311,492 318,736 622,984 856,603 1,245,968 1,713,206 3,426,412 6,852,824 13,705,648

Collatz Trajectory (166 steps to reach 1)

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

13,705,648 6,852,824 3,426,412 1,713,206 856,603 2,569,810 1,284,905 3,854,716 1,927,358 963,679 2,891,038 1,445,519 4,336,558 2,168,279 6,504,838 3,252,419 9,757,258 4,878,629 14,635,888 7,317,944 3,658,972 1,829,486 914,743 2,744,230 1,372,115 4,116,346 2,058,173 6,174,520 3,087,260 1,543,630 771,815 2,315,446 1,157,723 3,473,170 1,736,585 5,209,756 2,604,878 1,302,439 3,907,318 1,953,659 5,860,978 2,930,489 8,791,468 4,395,734 2,197,867 6,593,602 3,296,801 9,890,404 4,945,202 2,472,601 7,417,804 3,708,902 1,854,451 5,563,354 2,781,677 8,345,032 4,172,516 2,086,258 1,043,129 3,129,388

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