λ
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Atlas › Integer Profiles › Node 16,660,748

16,660,748

22 × 13 × 17 × 47 × 401
Abundant Even Composite

16,660,748 factors as 2^2 × 13 × 17 × 47 × 401. Its 48 positive divisors give a proper-divisor sum of 17,377,396, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 17 × 47 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 34,038,144
Proper Divisor Sum 17,377,396
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #16660729 ← → #16660751

Radix Representation

Decimal 16660748
Binary 111111100011100100001100 (24 bits)
Octal 0o77434414
Hexadecimal 0xFE390C

Divisor Catalog (48)

1 2 4 13 17 26 34 47 52 68 94 188 221 401 442 611 799 802 884 1,222 1,598 1,604 2,444 3,196 5,213 6,817 10,387 10,426 13,634 18,847 20,774 20,852 27,268 37,694 41,548 75,388 88,621 177,242 245,011 320,399 354,484 490,022 640,798 980,044 1,281,596 4,165,187 8,330,374 16,660,748

Collatz Trajectory (138 steps to reach 1)

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

16,660,748 8,330,374 4,165,187 12,495,562 6,247,781 18,743,344 9,371,672 4,685,836 2,342,918 1,171,459 3,514,378 1,757,189 5,271,568 2,635,784 1,317,892 658,946 329,473 988,420 494,210 247,105 741,316 370,658 185,329 555,988 277,994 138,997 416,992 208,496 104,248 52,124 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614

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