2,257,416

2³ × 3³ × 7 × 1493

Starting at 2,257,416, the Collatz iteration reaches 1 after 60 steps. The first transition is 1128708; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 7 × 1493

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 7,171,200

Proper Divisor Sum 4,913,784

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2257403 ← → #2257439

Radix Representation

Decimal	2257416
Binary	1000100111001000001000 (22 bits)
Octal	0o10471010
Hexadecimal	0x227208

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1,493 1,512 2,986 4,479 5,972 8,958 10,451 11,944 13,437 17,916 20,902 26,874 31,353 35,832 40,311 41,804 53,748 62,706 80,622 83,608 94,059 107,496 125,412 161,244 188,118 250,824 282,177 322,488 376,236

Collatz Trajectory (60 steps to reach 1)

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

2,257,416 1,128,708 564,354 282,177 846,532 423,266 211,633 634,900 317,450 158,725 476,176 238,088 119,044 59,522 29,761 89,284 44,642 22,321 66,964 33,482 16,741 50,224 25,112 12,556 6,278 3,139 9,418 4,709 14,128 7,064 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2

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