λ
Prime Ledger

1,288,444

22 × 322111
Deficient Even Composite

1,288,444 has the prime decomposition 2^2 × 322111. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 322111
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 2,254,784
Proper Divisor Sum 966,340
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1288439 ← → #1288487

Radix Representation

Decimal 1288444
Binary 100111010100011111100 (21 bits)
Octal 0o4724374
Hexadecimal 0x13A8FC

Divisor Catalog (6)

1 2 4 322,111 644,222 1,288,444

Collatz Trajectory (124 steps to reach 1)

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

1,288,444 644,222 322,111 966,334 483,167 1,449,502 724,751 2,174,254 1,087,127 3,261,382 1,630,691 4,892,074 2,446,037 7,338,112 3,669,056 1,834,528 917,264 458,632 229,316 114,658 57,329 171,988 85,994 42,997 128,992 64,496 32,248 16,124 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726 1,363

More profiles

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