λ
Prime Ledger

4,448,631

3 × 11 × 134807
Deficient Odd Composite

4,448,631 has the prime decomposition 3 × 11 × 134807. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 134807
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,470,784
Proper Divisor Sum 2,022,153
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4448579 ← → #4448657

Radix Representation

Decimal 4448631
Binary 10000111110000101110111 (23 bits)
Octal 0o20760567
Hexadecimal 0x43E177

Divisor Catalog (8)

1 3 11 33 134,807 404,421 1,482,877 4,448,631

Collatz Trajectory (118 steps to reach 1)

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

4,448,631 13,345,894 6,672,947 20,018,842 10,009,421 30,028,264 15,014,132 7,507,066 3,753,533 11,260,600 5,630,300 2,815,150 1,407,575 4,222,726 2,111,363 6,334,090 3,167,045 9,501,136 4,750,568 2,375,284 1,187,642 593,821 1,781,464 890,732 445,366 222,683 668,050 334,025 1,002,076 501,038 250,519 751,558 375,779 1,127,338 563,669 1,691,008 845,504 422,752 211,376 105,688 52,844 26,422 13,211 39,634 19,817 59,452 29,726 14,863 44,590 22,295 66,886 33,443 100,330 50,165 150,496 75,248 37,624 18,812 9,406 4,703

More profiles

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