6,055,128

2³ × 3³ × 17² × 97

Starting at 6,055,128, the Collatz iteration reaches 1 after 227 steps. The first transition is 3027564; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 17^2 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 18,051,600

Proper Divisor Sum 11,996,472

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6055109 ← → #6055139

Radix Representation

Decimal	6055128
Binary	10111000110010011011000 (23 bits)
Octal	0o27062330
Hexadecimal	0x5C64D8

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 97 102 108 136 153 194 204 216 289 291 306 388 408 459 578 582 612 776 867 873 918 1,156 1,164 1,224 1,649 1,734 1,746 1,836 2,312 2,328 2,601 2,619 3,298 3,468 3,492 3,672 4,947 5,202 5,238 6,596 6,936 6,984

Collatz Trajectory (227 steps to reach 1)

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

6,055,128 3,027,564 1,513,782 756,891 2,270,674 1,135,337 3,406,012 1,703,006 851,503 2,554,510 1,277,255 3,831,766 1,915,883 5,747,650 2,873,825 8,621,476 4,310,738 2,155,369 6,466,108 3,233,054 1,616,527 4,849,582 2,424,791 7,274,374 3,637,187 10,911,562 5,455,781 16,367,344 8,183,672 4,091,836 2,045,918 1,022,959 3,068,878 1,534,439 4,603,318 2,301,659 6,904,978 3,452,489 10,357,468 5,178,734 2,589,367 7,768,102 3,884,051 11,652,154 5,826,077 17,478,232 8,739,116 4,369,558 2,184,779 6,554,338 3,277,169 9,831,508 4,915,754 2,457,877 7,373,632 3,686,816 1,843,408 921,704 460,852 230,426

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