27,214,745

5 × 19 × 31 × 9241

27,214,745 factors as 5 × 19 × 31 × 9241. Its 16 positive divisors give a proper-divisor sum of 8,274,535, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 5 × 19 × 31 × 9241

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 35,489,280

Proper Divisor Sum 8,274,535

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #27214729 ← → #27214751

Radix Representation

Decimal	27214745
Binary	1100111110100001110011001 (25 bits)
Octal	0o147641631
Hexadecimal	0x19F4399

Divisor Catalog (16)

1 5 19 31 95 155 589 2,945 9,241 46,205 175,579 286,471 877,895 1,432,355 5,442,949 27,214,745

Collatz Trajectory (255 steps to reach 1)

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

27,214,745 81,644,236 40,822,118 20,411,059 61,233,178 30,616,589 91,849,768 45,924,884 22,962,442 11,481,221 34,443,664 17,221,832 8,610,916 4,305,458 2,152,729 6,458,188 3,229,094 1,614,547 4,843,642 2,421,821 7,265,464 3,632,732 1,816,366 908,183 2,724,550 1,362,275 4,086,826 2,043,413 6,130,240 3,065,120 1,532,560 766,280 383,140 191,570 95,785 287,356 143,678 71,839 215,518 107,759 323,278 161,639 484,918 242,459 727,378 363,689 1,091,068 545,534 272,767 818,302 409,151 1,227,454 613,727 1,841,182 920,591 2,761,774 1,380,887 4,142,662 2,071,331 6,213,994

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