λ
Matchaa Zalai

1,120,557

3 × 31 × 12049
Deficient Odd Composite

1,120,557 factors as 3 × 31 × 12049. Its 8 positive divisors give a proper-divisor sum of 421,843, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 3 × 31 × 12049
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,542,400
Proper Divisor Sum 421,843
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1120549 ← → #1120573

Radix Representation

Decimal 1120557
Binary 100010001100100101101 (21 bits)
Octal 0o4214455
Hexadecimal 0x11192D

Divisor Catalog (8)

1 3 31 93 12,049 36,147 373,519 1,120,557

Collatz Trajectory (85 steps to reach 1)

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

1,120,557 3,361,672 1,680,836 840,418 420,209 1,260,628 630,314 315,157 945,472 472,736 236,368 118,184 59,092 29,546 14,773 44,320 22,160 11,080 5,540 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

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