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Atlas › Integer Profiles › Node 17,257,510

17,257,510

2 × 5 × 19 × 61 × 1489
Deficient Even Composite

17,257,510 factors as 2 × 5 × 19 × 61 × 1489. Its 32 positive divisors give a proper-divisor sum of 15,999,290, so this integer is deficient. The Collatz stopping time is 288 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 61 × 1489
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 33,256,800
Proper Divisor Sum 15,999,290
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #17257501 ← → #17257511

Radix Representation

Decimal 17257510
Binary 1000001110101010000100110 (25 bits)
Octal 0o101652046
Hexadecimal 0x1075426

Divisor Catalog (32)

1 2 5 10 19 38 61 95 122 190 305 610 1,159 1,489 2,318 2,978 5,795 7,445 11,590 14,890 28,291 56,582 90,829 141,455 181,658 282,910 454,145 908,290 1,725,751 3,451,502 8,628,755 17,257,510

Collatz Trajectory (288 steps to reach 1)

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

17,257,510 8,628,755 25,886,266 12,943,133 38,829,400 19,414,700 9,707,350 4,853,675 14,561,026 7,280,513 21,841,540 10,920,770 5,460,385 16,381,156 8,190,578 4,095,289 12,285,868 6,142,934 3,071,467 9,214,402 4,607,201 13,821,604 6,910,802 3,455,401 10,366,204 5,183,102 2,591,551 7,774,654 3,887,327 11,661,982 5,830,991 17,492,974 8,746,487 26,239,462 13,119,731 39,359,194 19,679,597 59,038,792 29,519,396 14,759,698 7,379,849 22,139,548 11,069,774 5,534,887 16,604,662 8,302,331 24,906,994 12,453,497 37,360,492 18,680,246 9,340,123 28,020,370 14,010,185 42,030,556 21,015,278 10,507,639 31,522,918 15,761,459 47,284,378 23,642,189

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