λ
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Atlas › Integer Profiles › Node 21,627,562

21,627,562

2 × 11 × 29 × 109 × 311
Deficient Even Composite

21,627,562 factors as 2 × 11 × 29 × 109 × 311. Its 32 positive divisors give a proper-divisor sum of 15,438,038, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2 × 11 × 29 × 109 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 37,065,600
Proper Divisor Sum 15,438,038
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #21627539 ← → #21627569

Radix Representation

Decimal 21627562
Binary 1010010100000001010101010 (25 bits)
Octal 0o122401252
Hexadecimal 0x14A02AA

Divisor Catalog (32)

1 2 11 22 29 58 109 218 311 319 622 638 1,199 2,398 3,161 3,421 6,322 6,842 9,019 18,038 33,899 34,771 67,798 69,542 99,209 198,418 372,889 745,778 983,071 1,966,142 10,813,781 21,627,562

Collatz Trajectory (115 steps to reach 1)

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

21,627,562 10,813,781 32,441,344 16,220,672 8,110,336 4,055,168 2,027,584 1,013,792 506,896 253,448 126,724 63,362 31,681 95,044 47,522 23,761 71,284 35,642 17,821 53,464 26,732 13,366 6,683 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638

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