λ
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Atlas › Integer Profiles › Node 8,740,490

8,740,490

2 × 5 × 11 × 181 × 439
Deficient Even Composite

8,740,490 factors as 2 × 5 × 11 × 181 × 439. Its 32 positive divisors give a proper-divisor sum of 8,556,790, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 181 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,297,280
Proper Divisor Sum 8,556,790
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8740453 ← → #8740493

Radix Representation

Decimal 8740490
Binary 100001010101111010001010 (24 bits)
Octal 0o41257212
Hexadecimal 0x855E8A

Divisor Catalog (32)

1 2 5 10 11 22 55 110 181 362 439 878 905 1,810 1,991 2,195 3,982 4,390 4,829 9,658 9,955 19,910 24,145 48,290 79,459 158,918 397,295 794,590 874,049 1,748,098 4,370,245 8,740,490

Collatz Trajectory (93 steps to reach 1)

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

8,740,490 4,370,245 13,110,736 6,555,368 3,277,684 1,638,842 819,421 2,458,264 1,229,132 614,566 307,283 921,850 460,925 1,382,776 691,388 345,694 172,847 518,542 259,271 777,814 388,907 1,166,722 583,361 1,750,084 875,042 437,521 1,312,564 656,282 328,141 984,424 492,212 246,106 123,053 369,160 184,580 92,290 46,145 138,436 69,218 34,609 103,828 51,914 25,957 77,872 38,936 19,468 9,734 4,867 14,602 7,301 21,904 10,952 5,476 2,738 1,369 4,108 2,054 1,027 3,082 1,541

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