3,058,048

2⁷ × 7 × 3413

Starting at 3,058,048, the Collatz iteration reaches 1 after 257 steps. The first transition is 1529024; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 7 × 3413

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,964,560

Proper Divisor Sum 3,906,512

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3058037 ← → #3058051

Radix Representation

Decimal	3058048
Binary	1011101010100110000000 (22 bits)
Octal	0o13524600
Hexadecimal	0x2EA980

Divisor Catalog (32)

1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 3,413 6,826 13,652 23,891 27,304 47,782 54,608 95,564 109,216 191,128 218,432 382,256 436,864 764,512 1,529,024 3,058,048

Collatz Trajectory (257 steps to reach 1)

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

3,058,048 1,529,024 764,512 382,256 191,128 95,564 47,782 23,891 71,674 35,837 107,512 53,756 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359 136,078 68,039 204,118 102,059 306,178 153,089 459,268 229,634 114,817 344,452 172,226 86,113 258,340 129,170 64,585 193,756 96,878 48,439 145,318 72,659 217,978 108,989 326,968 163,484 81,742 40,871 122,614 61,307 183,922 91,961 275,884 137,942 68,971 206,914 103,457 310,372 155,186 77,593 232,780 116,390

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