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Atlas › Integer Profiles › Node 17,533,802

17,533,802

2 × 11 × 13 × 101 × 607
Deficient Even Composite

17,533,802 factors as 2 × 11 × 13 × 101 × 607. Its 32 positive divisors give a proper-divisor sum of 13,722,262, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 101 × 607
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 31,256,064
Proper Divisor Sum 13,722,262
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #17533799 ← → #17533807

Radix Representation

Decimal 17533802
Binary 1000010111000101101101010 (25 bits)
Octal 0o102705552
Hexadecimal 0x10B8B6A

Divisor Catalog (32)

1 2 11 13 22 26 101 143 202 286 607 1,111 1,214 1,313 2,222 2,626 6,677 7,891 13,354 14,443 15,782 28,886 61,307 86,801 122,614 173,602 674,377 796,991 1,348,754 1,593,982 8,766,901 17,533,802

Collatz Trajectory (151 steps to reach 1)

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

17,533,802 8,766,901 26,300,704 13,150,352 6,575,176 3,287,588 1,643,794 821,897 2,465,692 1,232,846 616,423 1,849,270 924,635 2,773,906 1,386,953 4,160,860 2,080,430 1,040,215 3,120,646 1,560,323 4,680,970 2,340,485 7,021,456 3,510,728 1,755,364 877,682 438,841 1,316,524 658,262 329,131 987,394 493,697 1,481,092 740,546 370,273 1,110,820 555,410 277,705 833,116 416,558 208,279 624,838 312,419 937,258 468,629 1,405,888 702,944 351,472 175,736 87,868 43,934 21,967 65,902 32,951 98,854 49,427 148,282 74,141 222,424 111,212

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