λ
Harmonic Matrix

1,122,050

2 × 52 × 22441
Deficient Even Composite

1,122,050 has digital root 2. The neighboring primes are 1122041 and 1122053; its proper-divisor sum differs from the starting integer by -156,994.

Prime Factor Structure

Factorization String 2 × 5^2 × 22441
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,087,106
Proper Divisor Sum 965,056
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #1122041 ← → #1122053

Radix Representation

Decimal 1122050
Binary 100010001111100000010 (21 bits)
Octal 0o4217402
Hexadecimal 0x111F02

Divisor Catalog (12)

1 2 5 10 25 50 22,441 44,882 112,205 224,410 561,025 1,122,050

Collatz Trajectory (72 steps to reach 1)

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

1,122,050 561,025 1,683,076 841,538 420,769 1,262,308 631,154 315,577 946,732 473,366 236,683 710,050 355,025 1,065,076 532,538 266,269 798,808 399,404 199,702 99,851 299,554 149,777 449,332 224,666 112,333 337,000 168,500 84,250 42,125 126,376 63,188 31,594 15,797 47,392 23,696 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34

More profiles

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