2,727,327

3 × 17 × 53 × 1009

Prime Factor Structure

Factorization String 3 × 17 × 53 × 1009

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,926,880

Proper Divisor Sum 1,199,553

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2727313 ← → #2727331

Radix Representation

Decimal	2727327
Binary	1010011001110110011111 (22 bits)
Octal	0o12316637
Hexadecimal	0x299D9F

Divisor Catalog (16)

1 3 17 51 53 159 901 1,009 2,703 3,027 17,153 51,459 53,477 160,431 909,109 2,727,327

Collatz Trajectory (112 steps to reach 1)

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

2,727,327 8,181,982 4,090,991 12,272,974 6,136,487 18,409,462 9,204,731 27,614,194 13,807,097 41,421,292 20,710,646 10,355,323 31,065,970 15,532,985 46,598,956 23,299,478 11,649,739 34,949,218 17,474,609 52,423,828 26,211,914 13,105,957 39,317,872 19,658,936 9,829,468 4,914,734 2,457,367 7,372,102 3,686,051 11,058,154 5,529,077 16,587,232 8,293,616 4,146,808 2,073,404 1,036,702 518,351 1,555,054 777,527 2,332,582 1,166,291 3,498,874 1,749,437 5,248,312 2,624,156 1,312,078 656,039 1,968,118 984,059 2,952,178 1,476,089 4,428,268 2,214,134 1,107,067 3,321,202 1,660,601 4,981,804 2,490,902 1,245,451 3,736,354

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