λ
Harmonic Matrix

1,118,431

67 × 16693
Deficient Odd Composite

1,118,431 has digital root 1. The neighboring primes are 1118419 and 1118437; its proper-divisor sum differs from the starting integer by -1,101,670.

Prime Factor Structure

Factorization String 67 × 16693
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,135,192
Proper Divisor Sum 16,761
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1118419 ← → #1118437

Radix Representation

Decimal 1118431
Binary 100010001000011011111 (21 bits)
Octal 0o4210337
Hexadecimal 0x1110DF

Divisor Catalog (4)

1 67 16,693 1,118,431

Collatz Trajectory (222 steps to reach 1)

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

1,118,431 3,355,294 1,677,647 5,032,942 2,516,471 7,549,414 3,774,707 11,324,122 5,662,061 16,986,184 8,493,092 4,246,546 2,123,273 6,369,820 3,184,910 1,592,455 4,777,366 2,388,683 7,166,050 3,583,025 10,749,076 5,374,538 2,687,269 8,061,808 4,030,904 2,015,452 1,007,726 503,863 1,511,590 755,795 2,267,386 1,133,693 3,401,080 1,700,540 850,270 425,135 1,275,406 637,703 1,913,110 956,555 2,869,666 1,434,833 4,304,500 2,152,250 1,076,125 3,228,376 1,614,188 807,094 403,547 1,210,642 605,321 1,815,964 907,982 453,991 1,361,974 680,987 2,042,962 1,021,481 3,064,444 1,532,222

More profiles

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