λ
Prime Ledger

3,580,281

34 × 44201
Deficient Odd Composite

3,580,281 has the prime decomposition 3^4 × 44201. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 44201
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 5,348,442
Proper Divisor Sum 1,768,161
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3580271 ← → #3580289

Radix Representation

Decimal 3580281
Binary 1101101010000101111001 (22 bits)
Octal 0o15520571
Hexadecimal 0x36A179

Divisor Catalog (10)

1 3 9 27 81 44,201 132,603 397,809 1,193,427 3,580,281

Collatz Trajectory (146 steps to reach 1)

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

3,580,281 10,740,844 5,370,422 2,685,211 8,055,634 4,027,817 12,083,452 6,041,726 3,020,863 9,062,590 4,531,295 13,593,886 6,796,943 20,390,830 10,195,415 30,586,246 15,293,123 45,879,370 22,939,685 68,819,056 34,409,528 17,204,764 8,602,382 4,301,191 12,903,574 6,451,787 19,355,362 9,677,681 29,033,044 14,516,522 7,258,261 21,774,784 10,887,392 5,443,696 2,721,848 1,360,924 680,462 340,231 1,020,694 510,347 1,531,042 765,521 2,296,564 1,148,282 574,141 1,722,424 861,212 430,606 215,303 645,910 322,955 968,866 484,433 1,453,300 726,650 363,325 1,089,976 544,988 272,494 136,247

More profiles

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