λ
Matchaa Zalai

1,619,397

32 × 13 × 13841
Deficient Odd Composite

1,619,397 factors as 3^2 × 13 × 13841. Its 12 positive divisors give a proper-divisor sum of 899,847, so this integer is deficient. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 13841
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,519,244
Proper Divisor Sum 899,847
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1619383 ← → #1619417

Radix Representation

Decimal 1619397
Binary 110001011010111000101 (21 bits)
Octal 0o6132705
Hexadecimal 0x18B5C5

Divisor Catalog (12)

1 3 9 13 39 117 13,841 41,523 124,569 179,933 539,799 1,619,397

Collatz Trajectory (70 steps to reach 1)

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

1,619,397 4,858,192 2,429,096 1,214,548 607,274 303,637 910,912 455,456 227,728 113,864 56,932 28,466 14,233 42,700 21,350 10,675 32,026 16,013 48,040 24,020 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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