6,078,088

2³ × 223 × 3407

Starting at 6,078,088, the Collatz iteration reaches 1 after 227 steps. The first transition is 3039044; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 223 × 3407

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,450,880

Proper Divisor Sum 5,372,792

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6078073 ← → #6078091

Radix Representation

Decimal	6078088
Binary	10111001011111010001000 (23 bits)
Octal	0o27137210
Hexadecimal	0x5CBE88

Divisor Catalog (16)

1 2 4 8 223 446 892 1,784 3,407 6,814 13,628 27,256 759,761 1,519,522 3,039,044 6,078,088

Collatz Trajectory (227 steps to reach 1)

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

6,078,088 3,039,044 1,519,522 759,761 2,279,284 1,139,642 569,821 1,709,464 854,732 427,366 213,683 641,050 320,525 961,576 480,788 240,394 120,197 360,592 180,296 90,148 45,074 22,537 67,612 33,806 16,903 50,710 25,355 76,066 38,033 114,100 57,050 28,525 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156 5,078 2,539 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430

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