6,045,928

2³ × 7 × 107 × 1009

Starting at 6,045,928, the Collatz iteration reaches 1 after 95 steps. The first transition is 3022964; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 107 × 1009

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,089,600

Proper Divisor Sum 7,043,672

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6045917 ← → #6045937

Radix Representation

Decimal	6045928
Binary	10111000100000011101000 (23 bits)
Octal	0o27040350
Hexadecimal	0x5C40E8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 107 214 428 749 856 1,009 1,498 2,018 2,996 4,036 5,992 7,063 8,072 14,126 28,252 56,504 107,963 215,926 431,852 755,741 863,704 1,511,482 3,022,964 6,045,928

Collatz Trajectory (95 steps to reach 1)

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

6,045,928 3,022,964 1,511,482 755,741 2,267,224 1,133,612 566,806 283,403 850,210 425,105 1,275,316 637,658 318,829 956,488 478,244 239,122 119,561 358,684 179,342 89,671 269,014 134,507 403,522 201,761 605,284 302,642 151,321 453,964 226,982 113,491 340,474 170,237 510,712 255,356 127,678 63,839 191,518 95,759 287,278 143,639 430,918 215,459 646,378 323,189 969,568 484,784 242,392 121,196 60,598 30,299 90,898 45,449 136,348 68,174 34,087 102,262 51,131 153,394 76,697 230,092

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