27,411,423

3 × 13 × 23 × 30559

27,411,423 factors as 3 × 13 × 23 × 30559. Its 16 positive divisors give a proper-divisor sum of 13,661,217, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 3 × 13 × 23 × 30559

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 41,072,640

Proper Divisor Sum 13,661,217

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #27411421 ← → #27411431

Radix Representation

Decimal	27411423
Binary	1101000100100001111011111 (25 bits)
Octal	0o150441737
Hexadecimal	0x1A243DF

Divisor Catalog (16)

1 3 13 23 39 69 299 897 30,559 91,677 397,267 702,857 1,191,801 2,108,571 9,137,141 27,411,423

Collatz Trajectory (224 steps to reach 1)

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

27,411,423 82,234,270 41,117,135 123,351,406 61,675,703 185,027,110 92,513,555 277,540,666 138,770,333 416,311,000 208,155,500 104,077,750 52,038,875 156,116,626 78,058,313 234,174,940 117,087,470 58,543,735 175,631,206 87,815,603 263,446,810 131,723,405 395,170,216 197,585,108 98,792,554 49,396,277 148,188,832 74,094,416 37,047,208 18,523,604 9,261,802 4,630,901 13,892,704 6,946,352 3,473,176 1,736,588 868,294 434,147 1,302,442 651,221 1,953,664 976,832 488,416 244,208 122,104 61,052 30,526 15,263 45,790 22,895 68,686 34,343 103,030 51,515 154,546 77,273 231,820 115,910 57,955 173,866

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