3,953,188

2² × 988297

Starting at 3,953,188, the Collatz iteration reaches 1 after 123 steps. The first transition is 1976594; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 988297

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 6,918,086

Proper Divisor Sum 2,964,898

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3953161 ← → #3953189

Radix Representation

Decimal	3953188
Binary	1111000101001000100100 (22 bits)
Octal	0o17051044
Hexadecimal	0x3C5224

Divisor Catalog (6)

1 2 4 988,297 1,976,594 3,953,188

Collatz Trajectory (123 steps to reach 1)

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

3,953,188 1,976,594 988,297 2,964,892 1,482,446 741,223 2,223,670 1,111,835 3,335,506 1,667,753 5,003,260 2,501,630 1,250,815 3,752,446 1,876,223 5,628,670 2,814,335 8,443,006 4,221,503 12,664,510 6,332,255 18,996,766 9,498,383 28,495,150 14,247,575 42,742,726 21,371,363 64,114,090 32,057,045 96,171,136 48,085,568 24,042,784 12,021,392 6,010,696 3,005,348 1,502,674 751,337 2,254,012 1,127,006 563,503 1,690,510 845,255 2,535,766 1,267,883 3,803,650 1,901,825 5,705,476 2,852,738 1,426,369 4,279,108 2,139,554 1,069,777 3,209,332 1,604,666 802,333 2,407,000 1,203,500 601,750 300,875 902,626

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