λ
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Atlas › Integer Profiles › Node 10,085,570

10,085,570

2 × 5 × 11 × 277 × 331
Deficient Even Composite

10,085,570 factors as 2 × 5 × 11 × 277 × 331. Its 32 positive divisors give a proper-divisor sum of 9,850,366, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 277 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,935,936
Proper Divisor Sum 9,850,366
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #10085567 ← → #10085597

Radix Representation

Decimal 10085570
Binary 100110011110010011000010 (24 bits)
Octal 0o46362302
Hexadecimal 0x99E4C2

Divisor Catalog (32)

1 2 5 10 11 22 55 110 277 331 554 662 1,385 1,655 2,770 3,047 3,310 3,641 6,094 7,282 15,235 18,205 30,470 36,410 91,687 183,374 458,435 916,870 1,008,557 2,017,114 5,042,785 10,085,570

Collatz Trajectory (207 steps to reach 1)

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

10,085,570 5,042,785 15,128,356 7,564,178 3,782,089 11,346,268 5,673,134 2,836,567 8,509,702 4,254,851 12,764,554 6,382,277 19,146,832 9,573,416 4,786,708 2,393,354 1,196,677 3,590,032 1,795,016 897,508 448,754 224,377 673,132 336,566 168,283 504,850 252,425 757,276 378,638 189,319 567,958 283,979 851,938 425,969 1,277,908 638,954 319,477 958,432 479,216 239,608 119,804 59,902 29,951 89,854 44,927 134,782 67,391 202,174 101,087 303,262 151,631 454,894 227,447 682,342 341,171 1,023,514 511,757 1,535,272 767,636 383,818

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