λ
Prime Ledger

1,026,494

2 × 7 × 17 × 19 × 227
Deficient Even Composite

1,026,494 has the prime decomposition 2 × 7 × 17 × 19 × 227. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 19 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,969,920
Proper Divisor Sum 943,426
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1026481 ← → #1026521

Radix Representation

Decimal 1026494
Binary 11111010100110111110 (20 bits)
Octal 0o3724676
Hexadecimal 0xFA9BE

Divisor Catalog (32)

1 2 7 14 17 19 34 38 119 133 227 238 266 323 454 646 1,589 2,261 3,178 3,859 4,313 4,522 7,718 8,626 27,013 30,191 54,026 60,382 73,321 146,642 513,247 1,026,494

Collatz Trajectory (134 steps to reach 1)

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

1,026,494 513,247 1,539,742 769,871 2,309,614 1,154,807 3,464,422 1,732,211 5,196,634 2,598,317 7,794,952 3,897,476 1,948,738 974,369 2,923,108 1,461,554 730,777 2,192,332 1,096,166 548,083 1,644,250 822,125 2,466,376 1,233,188 616,594 308,297 924,892 462,446 231,223 693,670 346,835 1,040,506 520,253 1,560,760 780,380 390,190 195,095 585,286 292,643 877,930 438,965 1,316,896 658,448 329,224 164,612 82,306 41,153 123,460 61,730 30,865 92,596 46,298 23,149 69,448 34,724 17,362 8,681 26,044 13,022 6,511

More profiles

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