λ
Integer Codex

8,444,090

2 × 5 × 31 × 27239
Deficient Even Composite

For 8,444,090, the 16 positive divisors have a total of 15,690,240. Removing 8,444,090 leaves 7,246,150, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 31 × 27239
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,690,240
Proper Divisor Sum 7,246,150
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8444083 ← → #8444123

Radix Representation

Decimal 8444090
Binary 100000001101100010111010 (24 bits)
Octal 0o40154272
Hexadecimal 0x80D8BA

Divisor Catalog (16)

1 2 5 10 31 62 155 310 27,239 54,478 136,195 272,390 844,409 1,688,818 4,222,045 8,444,090

Collatz Trajectory (129 steps to reach 1)

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

8,444,090 4,222,045 12,666,136 6,333,068 3,166,534 1,583,267 4,749,802 2,374,901 7,124,704 3,562,352 1,781,176 890,588 445,294 222,647 667,942 333,971 1,001,914 500,957 1,502,872 751,436 375,718 187,859 563,578 281,789 845,368 422,684 211,342 105,671 317,014 158,507 475,522 237,761 713,284 356,642 178,321 534,964 267,482 133,741 401,224 200,612 100,306 50,153 150,460 75,230 37,615 112,846 56,423 169,270 84,635 253,906 126,953 380,860 190,430 95,215 285,646 142,823 428,470 214,235 642,706 321,353

More profiles

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