λ
Integer Codex

8,426,444

22 × 13 × 131 × 1237
Deficient Even Composite

For 8,426,444, the 24 positive divisors have a total of 16,014,768. Removing 8,426,444 leaves 7,588,324, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 13 × 131 × 1237
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,014,768
Proper Divisor Sum 7,588,324
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8426419 ← → #8426449

Radix Representation

Decimal 8426444
Binary 100000001001001111001100 (24 bits)
Octal 0o40111714
Hexadecimal 0x8093CC

Divisor Catalog (24)

1 2 4 13 26 52 131 262 524 1,237 1,703 2,474 3,406 4,948 6,812 16,081 32,162 64,324 162,047 324,094 648,188 2,106,611 4,213,222 8,426,444

Collatz Trajectory (129 steps to reach 1)

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

8,426,444 4,213,222 2,106,611 6,319,834 3,159,917 9,479,752 4,739,876 2,369,938 1,184,969 3,554,908 1,777,454 888,727 2,666,182 1,333,091 3,999,274 1,999,637 5,998,912 2,999,456 1,499,728 749,864 374,932 187,466 93,733 281,200 140,600 70,300 35,150 17,575 52,726 26,363 79,090 39,545 118,636 59,318 29,659 88,978 44,489 133,468 66,734 33,367 100,102 50,051 150,154 75,077 225,232 112,616 56,308 28,154 14,077 42,232 21,116 10,558 5,279 15,838 7,919 23,758 11,879 35,638 17,819 53,458

More profiles

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