2,088,318

2 × 3 × 348053

Starting at 2,088,318, the Collatz iteration reaches 1 after 179 steps. The first transition is 1044159; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 348053

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,176,648

Proper Divisor Sum 2,088,330

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2088301 ← → #2088329

Radix Representation

Decimal	2088318
Binary	111111101110101111110 (21 bits)
Octal	0o7756576
Hexadecimal	0x1FDD7E

Divisor Catalog (8)

1 2 3 6 348,053 696,106 1,044,159 2,088,318

Collatz Trajectory (179 steps to reach 1)

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

2,088,318 1,044,159 3,132,478 1,566,239 4,698,718 2,349,359 7,048,078 3,524,039 10,572,118 5,286,059 15,858,178 7,929,089 23,787,268 11,893,634 5,946,817 17,840,452 8,920,226 4,460,113 13,380,340 6,690,170 3,345,085 10,035,256 5,017,628 2,508,814 1,254,407 3,763,222 1,881,611 5,644,834 2,822,417 8,467,252 4,233,626 2,116,813 6,350,440 3,175,220 1,587,610 793,805 2,381,416 1,190,708 595,354 297,677 893,032 446,516 223,258 111,629 334,888 167,444 83,722 41,861 125,584 62,792 31,396 15,698 7,849 23,548 11,774 5,887 17,662 8,831 26,494 13,247

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