6,121,164

2² × 3 × 7 × 72871

Starting at 6,121,164, the Collatz iteration reaches 1 after 227 steps. The first transition is 3060582; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 72871

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,323,328

Proper Divisor Sum 10,202,164

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6121121 ← → #6121201

Radix Representation

Decimal	6121164
Binary	10111010110011011001100 (23 bits)
Octal	0o27263314
Hexadecimal	0x5D66CC

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 72,871 145,742 218,613 291,484 437,226 510,097 874,452 1,020,194 1,530,291 2,040,388 3,060,582 6,121,164

Collatz Trajectory (227 steps to reach 1)

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

6,121,164 3,060,582 1,530,291 4,590,874 2,295,437 6,886,312 3,443,156 1,721,578 860,789 2,582,368 1,291,184 645,592 322,796 161,398 80,699 242,098 121,049 363,148 181,574 90,787 272,362 136,181 408,544 204,272 102,136 51,068 25,534 12,767 38,302 19,151 57,454 28,727 86,182 43,091 129,274 64,637 193,912 96,956 48,478 24,239 72,718 36,359 109,078 54,539 163,618 81,809 245,428 122,714 61,357 184,072 92,036 46,018 23,009 69,028 34,514 17,257 51,772 25,886 12,943 38,830

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