27,273,142

2 × 13 × 227 × 4621

27,273,142 factors as 2 × 13 × 227 × 4621. Its 16 positive divisors give a proper-divisor sum of 16,987,130, so this integer is deficient. The Collatz stopping time is 379 steps.

Prime Factor Structure

Factorization String 2 × 13 × 227 × 4621

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 44,260,272

Proper Divisor Sum 16,987,130

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #27273139 ← → #27273157

Radix Representation

Decimal	27273142
Binary	1101000000010011110110110 (25 bits)
Octal	0o150023666
Hexadecimal	0x1A027B6

Divisor Catalog (16)

1 2 13 26 227 454 2,951 4,621 5,902 9,242 60,073 120,146 1,048,967 2,097,934 13,636,571 27,273,142

Collatz Trajectory (379 steps to reach 1)

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

27,273,142 13,636,571 40,909,714 20,454,857 61,364,572 30,682,286 15,341,143 46,023,430 23,011,715 69,035,146 34,517,573 103,552,720 51,776,360 25,888,180 12,944,090 6,472,045 19,416,136 9,708,068 4,854,034 2,427,017 7,281,052 3,640,526 1,820,263 5,460,790 2,730,395 8,191,186 4,095,593 12,286,780 6,143,390 3,071,695 9,215,086 4,607,543 13,822,630 6,911,315 20,733,946 10,366,973 31,100,920 15,550,460 7,775,230 3,887,615 11,662,846 5,831,423 17,494,270 8,747,135 26,241,406 13,120,703 39,362,110 19,681,055 59,043,166 29,521,583 88,564,750 44,282,375 132,847,126 66,423,563 199,270,690 99,635,345 298,906,036 149,453,018 74,726,509 224,179,528

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