λ
Sequence Observatory

4,331,548

22 × 13 × 83299
Deficient Even Composite

Starting at 4,331,548, the Collatz iteration reaches 1 after 154 steps. The first transition is 2165774; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 83299
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,163,400
Proper Divisor Sum 3,831,852
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4331543 ← → #4331557

Radix Representation

Decimal 4331548
Binary 10000100001100000011100 (23 bits)
Octal 0o20414034
Hexadecimal 0x42181C

Divisor Catalog (12)

1 2 4 13 26 52 83,299 166,598 333,196 1,082,887 2,165,774 4,331,548

Collatz Trajectory (154 steps to reach 1)

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

4,331,548 2,165,774 1,082,887 3,248,662 1,624,331 4,872,994 2,436,497 7,309,492 3,654,746 1,827,373 5,482,120 2,741,060 1,370,530 685,265 2,055,796 1,027,898 513,949 1,541,848 770,924 385,462 192,731 578,194 289,097 867,292 433,646 216,823 650,470 325,235 975,706 487,853 1,463,560 731,780 365,890 182,945 548,836 274,418 137,209 411,628 205,814 102,907 308,722 154,361 463,084 231,542 115,771 347,314 173,657 520,972 260,486 130,243 390,730 195,365 586,096 293,048 146,524 73,262 36,631 109,894 54,947 164,842

More profiles

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