6,130,638

2 × 3² × 340591

Starting at 6,130,638, the Collatz iteration reaches 1 after 227 steps. The first transition is 3065319; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 340591

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,283,088

Proper Divisor Sum 7,152,450

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6130609 ← → #6130661

Radix Representation

Decimal	6130638
Binary	10111011000101111001110 (23 bits)
Octal	0o27305716
Hexadecimal	0x5D8BCE

Divisor Catalog (12)

1 2 3 6 9 18 340,591 681,182 1,021,773 2,043,546 3,065,319 6,130,638

Collatz Trajectory (227 steps to reach 1)

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

6,130,638 3,065,319 9,195,958 4,597,979 13,793,938 6,896,969 20,690,908 10,345,454 5,172,727 15,518,182 7,759,091 23,277,274 11,638,637 34,915,912 17,457,956 8,728,978 4,364,489 13,093,468 6,546,734 3,273,367 9,820,102 4,910,051 14,730,154 7,365,077 22,095,232 11,047,616 5,523,808 2,761,904 1,380,952 690,476 345,238 172,619 517,858 258,929 776,788 388,394 194,197 582,592 291,296 145,648 72,824 36,412 18,206 9,103 27,310 13,655 40,966 20,483 61,450 30,725 92,176 46,088 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482

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