27,210,728

2³ × 337 × 10093

27,210,728 factors as 2^3 × 337 × 10093. Its 16 positive divisors give a proper-divisor sum of 23,965,852, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^3 × 337 × 10093

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 51,176,580

Proper Divisor Sum 23,965,852

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #27210721 ← → #27210737

Radix Representation

Decimal	27210728
Binary	1100111110011001111101000 (25 bits)
Octal	0o147631750
Hexadecimal	0x19F33E8

Divisor Catalog (16)

1 2 4 8 337 674 1,348 2,696 10,093 20,186 40,372 80,744 3,401,341 6,802,682 13,605,364 27,210,728

Collatz Trajectory (131 steps to reach 1)

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

27,210,728 13,605,364 6,802,682 3,401,341 10,204,024 5,102,012 2,551,006 1,275,503 3,826,510 1,913,255 5,739,766 2,869,883 8,609,650 4,304,825 12,914,476 6,457,238 3,228,619 9,685,858 4,842,929 14,528,788 7,264,394 3,632,197 10,896,592 5,448,296 2,724,148 1,362,074 681,037 2,043,112 1,021,556 510,778 255,389 766,168 383,084 191,542 95,771 287,314 143,657 430,972 215,486 107,743 323,230 161,615 484,846 242,423 727,270 363,635 1,090,906 545,453 1,636,360 818,180 409,090 204,545 613,636 306,818 153,409 460,228 230,114 115,057 345,172 172,586

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