λ
Prime Ledger

3,112,427

59 × 71 × 743
Deficient Odd Composite

3,112,427 has the prime decomposition 59 × 71 × 743. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 59 × 71 × 743
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,214,080
Proper Divisor Sum 101,653
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3112423 ← → #3112441

Radix Representation

Decimal 3112427
Binary 1011110111110111101011 (22 bits)
Octal 0o13676753
Hexadecimal 0x2F7DEB

Divisor Catalog (8)

1 59 71 743 4,189 43,837 52,753 3,112,427

Collatz Trajectory (319 steps to reach 1)

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

3,112,427 9,337,282 4,668,641 14,005,924 7,002,962 3,501,481 10,504,444 5,252,222 2,626,111 7,878,334 3,939,167 11,817,502 5,908,751 17,726,254 8,863,127 26,589,382 13,294,691 39,884,074 19,942,037 59,826,112 29,913,056 14,956,528 7,478,264 3,739,132 1,869,566 934,783 2,804,350 1,402,175 4,206,526 2,103,263 6,309,790 3,154,895 9,464,686 4,732,343 14,197,030 7,098,515 21,295,546 10,647,773 31,943,320 15,971,660 7,985,830 3,992,915 11,978,746 5,989,373 17,968,120 8,984,060 4,492,030 2,246,015 6,738,046 3,369,023 10,107,070 5,053,535 15,160,606 7,580,303 22,740,910 11,370,455 34,111,366 17,055,683 51,167,050 25,583,525

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