6,178,042

2 × 13 × 127 × 1871

Starting at 6,178,042, the Collatz iteration reaches 1 after 165 steps. The first transition is 3089021; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 127 × 1871

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,063,872

Proper Divisor Sum 3,885,830

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6177991 ← → #6178057

Radix Representation

Decimal	6178042
Binary	10111100100010011111010 (23 bits)
Octal	0o27442372
Hexadecimal	0x5E44FA

Divisor Catalog (16)

1 2 13 26 127 254 1,651 1,871 3,302 3,742 24,323 48,646 237,617 475,234 3,089,021 6,178,042

Collatz Trajectory (165 steps to reach 1)

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

6,178,042 3,089,021 9,267,064 4,633,532 2,316,766 1,158,383 3,475,150 1,737,575 5,212,726 2,606,363 7,819,090 3,909,545 11,728,636 5,864,318 2,932,159 8,796,478 4,398,239 13,194,718 6,597,359 19,792,078 9,896,039 29,688,118 14,844,059 44,532,178 22,266,089 66,798,268 33,399,134 16,699,567 50,098,702 25,049,351 75,148,054 37,574,027 112,722,082 56,361,041 169,083,124 84,541,562 42,270,781 126,812,344 63,406,172 31,703,086 15,851,543 47,554,630 23,777,315 71,331,946 35,665,973 106,997,920 53,498,960 26,749,480 13,374,740 6,687,370 3,343,685 10,031,056 5,015,528 2,507,764 1,253,882 626,941 1,880,824 940,412 470,206 235,103

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