λ
Harmonic Matrix

1,193,837

1193837
Deficient Odd Prime

1,193,837 has digital root 5. The neighboring primes are 1193833 and 1193839; its proper-divisor sum differs from the starting integer by -1,193,836.

Prime Factor Structure

Factorization String 1193837
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,193,838
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1193833 ← → #1193839

Radix Representation

Decimal 1193837
Binary 100100011011101101101 (21 bits)
Octal 0o4433555
Hexadecimal 0x12376D

Divisor Catalog (2)

1 1,193,837

Collatz Trajectory (160 steps to reach 1)

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

1,193,837 3,581,512 1,790,756 895,378 447,689 1,343,068 671,534 335,767 1,007,302 503,651 1,510,954 755,477 2,266,432 1,133,216 566,608 283,304 141,652 70,826 35,413 106,240 53,120 26,560 13,280 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214

More profiles

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