λ
Sequence Observatory

3,269,224

23 × 7 × 58379
Abundant Even Composite

Starting at 3,269,224, the Collatz iteration reaches 1 after 164 steps. The first transition is 1634612; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 58379
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,005,600
Proper Divisor Sum 3,736,376
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3269213 ← → #3269239

Radix Representation

Decimal 3269224
Binary 1100011110001001101000 (22 bits)
Octal 0o14361150
Hexadecimal 0x31E268

Divisor Catalog (16)

1 2 4 7 8 14 28 56 58,379 116,758 233,516 408,653 467,032 817,306 1,634,612 3,269,224

Collatz Trajectory (164 steps to reach 1)

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

3,269,224 1,634,612 817,306 408,653 1,225,960 612,980 306,490 153,245 459,736 229,868 114,934 57,467 172,402 86,201 258,604 129,302 64,651 193,954 96,977 290,932 145,466 72,733 218,200 109,100 54,550 27,275 81,826 40,913 122,740 61,370 30,685 92,056 46,028 23,014 11,507 34,522 17,261 51,784 25,892 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458

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