3,992,963

13² × 23627

Starting at 3,992,963, the Collatz iteration reaches 1 after 92 steps. The first transition is 11978890; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 23627

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 4,323,924

Proper Divisor Sum 330,961

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3992959 ← → #3992987

Radix Representation

Decimal	3992963
Binary	1111001110110110000011 (22 bits)
Octal	0o17166603
Hexadecimal	0x3CED83

Divisor Catalog (6)

1 13 169 23,627 307,151 3,992,963

Collatz Trajectory (92 steps to reach 1)

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

3,992,963 11,978,890 5,989,445 17,968,336 8,984,168 4,492,084 2,246,042 1,123,021 3,369,064 1,684,532 842,266 421,133 1,263,400 631,700 315,850 157,925 473,776 236,888 118,444 59,222 29,611 88,834 44,417 133,252 66,626 33,313 99,940 49,970 24,985 74,956 37,478 18,739 56,218 28,109 84,328 42,164 21,082 10,541 31,624 15,812 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118

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