λ
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691,104

25 × 3 × 23 × 313
Abundant Even Composite

691,104 factors as 2^5 × 3 × 23 × 313. Its 48 positive divisors give a proper-divisor sum of 1,207,968, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 23 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,899,072
Proper Divisor Sum 1,207,968
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #691079 ← → #691109

Radix Representation

Decimal 691104
Binary 10101000101110100000 (20 bits)
Octal 0o2505640
Hexadecimal 0xA8BA0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 313 368 552 626 736 939 1,104 1,252 1,878 2,208 2,504 3,756 5,008 7,199 7,512 10,016 14,398 15,024 21,597 28,796 30,048 43,194 57,592 86,388 115,184 172,776 230,368 345,552 691,104

Collatz Trajectory (74 steps to reach 1)

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

691,104 345,552 172,776 86,388 43,194 21,597 64,792 32,396 16,198 8,099 24,298 12,149 36,448 18,224 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22

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