λ
Harmonic Matrix

1,107,911

7 × 163 × 971
Deficient Odd Composite

1,107,911 has digital root 2. The neighboring primes are 1107893 and 1107913; its proper-divisor sum differs from the starting integer by -940,558.

Prime Factor Structure

Factorization String 7 × 163 × 971
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,275,264
Proper Divisor Sum 167,353
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1107893 ← → #1107913

Radix Representation

Decimal 1107911
Binary 100001110011111000111 (21 bits)
Octal 0o4163707
Hexadecimal 0x10E7C7

Divisor Catalog (8)

1 7 163 971 1,141 6,797 158,273 1,107,911

Collatz Trajectory (103 steps to reach 1)

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

1,107,911 3,323,734 1,661,867 4,985,602 2,492,801 7,478,404 3,739,202 1,869,601 5,608,804 2,804,402 1,402,201 4,206,604 2,103,302 1,051,651 3,154,954 1,577,477 4,732,432 2,366,216 1,183,108 591,554 295,777 887,332 443,666 221,833 665,500 332,750 166,375 499,126 249,563 748,690 374,345 1,123,036 561,518 280,759 842,278 421,139 1,263,418 631,709 1,895,128 947,564 473,782 236,891 710,674 355,337 1,066,012 533,006 266,503 799,510 399,755 1,199,266 599,633 1,798,900 899,450 449,725 1,349,176 674,588 337,294 168,647 505,942 252,971

More profiles

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