λ
Sigma Notebook

2,727,342

2 × 32 × 277 × 547
Abundant Even Composite

2,727,342 is even and not a perfect square. Its factorization is 2 × 3^2 × 277 × 547 and its 24 divisors sum to 5,941,416.

Prime Factor Structure

Factorization String 2 × 3^2 × 277 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,941,416
Proper Divisor Sum 3,214,074
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2727331 ← → #2727359

Radix Representation

Decimal 2727342
Binary 1010011001110110101110 (22 bits)
Octal 0o12316656
Hexadecimal 0x299DAE

Divisor Catalog (24)

1 2 3 6 9 18 277 547 554 831 1,094 1,641 1,662 2,493 3,282 4,923 4,986 9,846 151,519 303,038 454,557 909,114 1,363,671 2,727,342

Collatz Trajectory (200 steps to reach 1)

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

2,727,342 1,363,671 4,091,014 2,045,507 6,136,522 3,068,261 9,204,784 4,602,392 2,301,196 1,150,598 575,299 1,725,898 862,949 2,588,848 1,294,424 647,212 323,606 161,803 485,410 242,705 728,116 364,058 182,029 546,088 273,044 136,522 68,261 204,784 102,392 51,196 25,598 12,799 38,398 19,199 57,598 28,799 86,398 43,199 129,598 64,799 194,398 97,199 291,598 145,799 437,398 218,699 656,098 328,049 984,148 492,074 246,037 738,112 369,056 184,528 92,264 46,132 23,066 11,533 34,600 17,300

More profiles

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