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Atlas › Integer Profiles › Node 17,848,880

17,848,880

24 × 5 × 7 × 31873
Abundant Even Composite

17,848,880 factors as 2^4 × 5 × 7 × 31873. Its 40 positive divisors give a proper-divisor sum of 29,579,632, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 31873
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 47,428,512
Proper Divisor Sum 29,579,632
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #17848879 ← → #17848921

Radix Representation

Decimal 17848880
Binary 1000100000101101000110000 (25 bits)
Octal 0o104055060
Hexadecimal 0x1105A30

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 31,873 63,746 127,492 159,365 223,111 254,984 318,730 446,222 509,968 637,460 892,444 1,115,555 1,274,920 1,784,888 2,231,110 2,549,840 3,569,776 4,462,220 8,924,440 17,848,880

Collatz Trajectory (120 steps to reach 1)

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

17,848,880 8,924,440 4,462,220 2,231,110 1,115,555 3,346,666 1,673,333 5,020,000 2,510,000 1,255,000 627,500 313,750 156,875 470,626 235,313 705,940 352,970 176,485 529,456 264,728 132,364 66,182 33,091 99,274 49,637 148,912 74,456 37,228 18,614 9,307 27,922 13,961 41,884 20,942 10,471 31,414 15,707 47,122 23,561 70,684 35,342 17,671 53,014 26,507 79,522 39,761 119,284 59,642 29,821 89,464 44,732 22,366 11,183 33,550 16,775 50,326 25,163 75,490 37,745 113,236

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