3,362,283

3³ × 124529

Starting at 3,362,283, the Collatz iteration reaches 1 after 115 steps. The first transition is 10086850; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 124529

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,981,200

Proper Divisor Sum 1,618,917

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3362279 ← → #3362327

Radix Representation

Decimal	3362283
Binary	1100110100110111101011 (22 bits)
Octal	0o14646753
Hexadecimal	0x334DEB

Divisor Catalog (8)

1 3 9 27 124,529 373,587 1,120,761 3,362,283

Collatz Trajectory (115 steps to reach 1)

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

3,362,283 10,086,850 5,043,425 15,130,276 7,565,138 3,782,569 11,347,708 5,673,854 2,836,927 8,510,782 4,255,391 12,766,174 6,383,087 19,149,262 9,574,631 28,723,894 14,361,947 43,085,842 21,542,921 64,628,764 32,314,382 16,157,191 48,471,574 24,235,787 72,707,362 36,353,681 109,061,044 54,530,522 27,265,261 81,795,784 40,897,892 20,448,946 10,224,473 30,673,420 15,336,710 7,668,355 23,005,066 11,502,533 34,507,600 17,253,800 8,626,900 4,313,450 2,156,725 6,470,176 3,235,088 1,617,544 808,772 404,386 202,193 606,580 303,290 151,645 454,936 227,468 113,734 56,867 170,602 85,301 255,904 127,952

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