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Atlas › Integer Profiles › Node 27,267,280

27,267,280

24 × 5 × 19 × 17939
Abundant Even Composite

27,267,280 factors as 2^4 × 5 × 19 × 17939. Its 40 positive divisors give a proper-divisor sum of 39,469,520, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 19 × 17939
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 66,736,800
Proper Divisor Sum 39,469,520
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #27267241 ← → #27267283

Radix Representation

Decimal 27267280
Binary 1101000000001000011010000 (25 bits)
Octal 0o150010320
Hexadecimal 0x1A010D0

Divisor Catalog (40)

1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1,520 17,939 35,878 71,756 89,695 143,512 179,390 287,024 340,841 358,780 681,682 717,560 1,363,364 1,435,120 1,704,205 2,726,728 3,408,410 5,453,456 6,816,820 13,633,640 27,267,280

Collatz Trajectory (149 steps to reach 1)

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

27,267,280 13,633,640 6,816,820 3,408,410 1,704,205 5,112,616 2,556,308 1,278,154 639,077 1,917,232 958,616 479,308 239,654 119,827 359,482 179,741 539,224 269,612 134,806 67,403 202,210 101,105 303,316 151,658 75,829 227,488 113,744 56,872 28,436 14,218 7,109 21,328 10,664 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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