λ
Harmonic Matrix

1,105,750

2 × 53 × 4423
Deficient Even Composite

1,105,750 has digital root 1. The neighboring primes are 1105711 and 1105757; its proper-divisor sum differs from the starting integer by -141,068.

Prime Factor Structure

Factorization String 2 × 5^3 × 4423
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,070,432
Proper Divisor Sum 964,682
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1105711 ← → #1105757

Radix Representation

Decimal 1105750
Binary 100001101111101010110 (21 bits)
Octal 0o4157526
Hexadecimal 0x10DF56

Divisor Catalog (16)

1 2 5 10 25 50 125 250 4,423 8,846 22,115 44,230 110,575 221,150 552,875 1,105,750

Collatz Trajectory (116 steps to reach 1)

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

1,105,750 552,875 1,658,626 829,313 2,487,940 1,243,970 621,985 1,865,956 932,978 466,489 1,399,468 699,734 349,867 1,049,602 524,801 1,574,404 787,202 393,601 1,180,804 590,402 295,201 885,604 442,802 221,401 664,204 332,102 166,051 498,154 249,077 747,232 373,616 186,808 93,404 46,702 23,351 70,054 35,027 105,082 52,541 157,624 78,812 39,406 19,703 59,110 29,555 88,666 44,333 133,000 66,500 33,250 16,625 49,876 24,938 12,469 37,408 18,704 9,352 4,676 2,338 1,169

More profiles

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