27,184,084

2² × 43 × 158047

27,184,084 factors as 2^2 × 43 × 158047. Its 12 positive divisors give a proper-divisor sum of 21,494,700, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^2 × 43 × 158047

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 48,678,784

Proper Divisor Sum 21,494,700

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #27184081 ← → #27184109

Radix Representation

Decimal	27184084
Binary	1100111101100101111010100 (25 bits)
Octal	0o147545724
Hexadecimal	0x19ECBD4

Divisor Catalog (12)

1 2 4 43 86 172 158,047 316,094 632,188 6,796,021 13,592,042 27,184,084

Collatz Trajectory (92 steps to reach 1)

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

27,184,084 13,592,042 6,796,021 20,388,064 10,194,032 5,097,016 2,548,508 1,274,254 637,127 1,911,382 955,691 2,867,074 1,433,537 4,300,612 2,150,306 1,075,153 3,225,460 1,612,730 806,365 2,419,096 1,209,548 604,774 302,387 907,162 453,581 1,360,744 680,372 340,186 170,093 510,280 255,140 127,570 63,785 191,356 95,678 47,839 143,518 71,759 215,278 107,639 322,918 161,459 484,378 242,189 726,568 363,284 181,642 90,821 272,464 136,232 68,116 34,058 17,029 51,088 25,544 12,772 6,386 3,193 9,580 4,790

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