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Atlas › Integer Profiles › Node 10,250,658

10,250,658

2 × 33 × 11 × 17257
Abundant Even Composite

10,250,658 factors as 2 × 3^3 × 11 × 17257. Its 32 positive divisors give a proper-divisor sum of 14,600,862, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 17257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,851,520
Proper Divisor Sum 14,600,862
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10250657 ← → #10250683

Radix Representation

Decimal 10250658
Binary 100111000110100110100010 (24 bits)
Octal 0o47064642
Hexadecimal 0x9C69A2

Divisor Catalog (32)

1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 17,257 34,514 51,771 103,542 155,313 189,827 310,626 379,654 465,939 569,481 931,878 1,138,962 1,708,443 3,416,886 5,125,329 10,250,658

Collatz Trajectory (145 steps to reach 1)

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

10,250,658 5,125,329 15,375,988 7,687,994 3,843,997 11,531,992 5,765,996 2,882,998 1,441,499 4,324,498 2,162,249 6,486,748 3,243,374 1,621,687 4,865,062 2,432,531 7,297,594 3,648,797 10,946,392 5,473,196 2,736,598 1,368,299 4,104,898 2,052,449 6,157,348 3,078,674 1,539,337 4,618,012 2,309,006 1,154,503 3,463,510 1,731,755 5,195,266 2,597,633 7,792,900 3,896,450 1,948,225 5,844,676 2,922,338 1,461,169 4,383,508 2,191,754 1,095,877 3,287,632 1,643,816 821,908 410,954 205,477 616,432 308,216 154,108 77,054 38,527 115,582 57,791 173,374 86,687 260,062 130,031 390,094

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