4,008,964

2² × 1002241

Starting at 4,008,964, the Collatz iteration reaches 1 after 92 steps. The first transition is 2004482; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1002241

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 7,015,694

Proper Divisor Sum 3,006,730

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4008947 ← → #4008967

Radix Representation

Decimal	4008964
Binary	1111010010110000000100 (22 bits)
Octal	0o17226004
Hexadecimal	0x3D2C04

Divisor Catalog (6)

1 2 4 1,002,241 2,004,482 4,008,964

Collatz Trajectory (92 steps to reach 1)

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

4,008,964 2,004,482 1,002,241 3,006,724 1,503,362 751,681 2,255,044 1,127,522 563,761 1,691,284 845,642 422,821 1,268,464 634,232 317,116 158,558 79,279 237,838 118,919 356,758 178,379 535,138 267,569 802,708 401,354 200,677 602,032 301,016 150,508 75,254 37,627 112,882 56,441 169,324 84,662 42,331 126,994 63,497 190,492 95,246 47,623 142,870 71,435 214,306 107,153 321,460 160,730 80,365 241,096 120,548 60,274 30,137 90,412 45,206 22,603 67,810 33,905 101,716 50,858 25,429

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