λ
Harmonic Matrix

1,011,169

479 × 2111
Deficient Odd Composite

1,011,169 has digital root 1. The neighboring primes are 1011167 and 1011191; its proper-divisor sum differs from the starting integer by -1,008,578.

Prime Factor Structure

Factorization String 479 × 2111
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,013,760
Proper Divisor Sum 2,591
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1011167 ← → #1011191

Radix Representation

Decimal 1011169
Binary 11110110110111100001 (20 bits)
Octal 0o3666741
Hexadecimal 0xF6DE1

Divisor Catalog (4)

1 479 2,111 1,011,169

Collatz Trajectory (121 steps to reach 1)

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

1,011,169 3,033,508 1,516,754 758,377 2,275,132 1,137,566 568,783 1,706,350 853,175 2,559,526 1,279,763 3,839,290 1,919,645 5,758,936 2,879,468 1,439,734 719,867 2,159,602 1,079,801 3,239,404 1,619,702 809,851 2,429,554 1,214,777 3,644,332 1,822,166 911,083 2,733,250 1,366,625 4,099,876 2,049,938 1,024,969 3,074,908 1,537,454 768,727 2,306,182 1,153,091 3,459,274 1,729,637 5,188,912 2,594,456 1,297,228 648,614 324,307 972,922 486,461 1,459,384 729,692 364,846 182,423 547,270 273,635 820,906 410,453 1,231,360 615,680 307,840 153,920 76,960 38,480

More profiles

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