λ
Matchaa Zalai

1,027,396

22 × 113 × 2273
Deficient Even Composite

1,027,396 factors as 2^2 × 113 × 2273. Its 12 positive divisors give a proper-divisor sum of 787,256, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^2 × 113 × 2273
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,814,652
Proper Divisor Sum 787,256
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1027391 ← → #1027409

Radix Representation

Decimal 1027396
Binary 11111010110101000100 (20 bits)
Octal 0o3726504
Hexadecimal 0xFAD44

Divisor Catalog (12)

1 2 4 113 226 452 2,273 4,546 9,092 256,849 513,698 1,027,396

Collatz Trajectory (196 steps to reach 1)

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

1,027,396 513,698 256,849 770,548 385,274 192,637 577,912 288,956 144,478 72,239 216,718 108,359 325,078 162,539 487,618 243,809 731,428 365,714 182,857 548,572 274,286 137,143 411,430 205,715 617,146 308,573 925,720 462,860 231,430 115,715 347,146 173,573 520,720 260,360 130,180 65,090 32,545 97,636 48,818 24,409 73,228 36,614 18,307 54,922 27,461 82,384 41,192 20,596 10,298 5,149 15,448 7,724 3,862 1,931 5,794 2,897 8,692 4,346 2,173 6,520

More profiles

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