4,290,270

2 × 3 × 5 × 83 × 1723

Starting at 4,290,270, the Collatz iteration reaches 1 after 180 steps. The first transition is 2145135; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 83 × 1723

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,426,752

Proper Divisor Sum 6,136,482

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4290269 ← → #4290277

Radix Representation

Decimal	4290270
Binary	10000010111011011011110 (23 bits)
Octal	0o20273336
Hexadecimal	0x4176DE

Divisor Catalog (32)

1 2 3 5 6 10 15 30 83 166 249 415 498 830 1,245 1,723 2,490 3,446 5,169 8,615 10,338 17,230 25,845 51,690 143,009 286,018 429,027 715,045 858,054 1,430,090 2,145,135 4,290,270

Collatz Trajectory (180 steps to reach 1)

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

4,290,270 2,145,135 6,435,406 3,217,703 9,653,110 4,826,555 14,479,666 7,239,833 21,719,500 10,859,750 5,429,875 16,289,626 8,144,813 24,434,440 12,217,220 6,108,610 3,054,305 9,162,916 4,581,458 2,290,729 6,872,188 3,436,094 1,718,047 5,154,142 2,577,071 7,731,214 3,865,607 11,596,822 5,798,411 17,395,234 8,697,617 26,092,852 13,046,426 6,523,213 19,569,640 9,784,820 4,892,410 2,446,205 7,338,616 3,669,308 1,834,654 917,327 2,751,982 1,375,991 4,127,974 2,063,987 6,191,962 3,095,981 9,287,944 4,643,972 2,321,986 1,160,993 3,482,980 1,741,490 870,745 2,612,236 1,306,118 653,059 1,959,178 979,589

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