λ
Harmonic Matrix

1,010,311

773 × 1307
Deficient Odd Composite

1,010,311 has digital root 7. The neighboring primes are 1010297 and 1010329; its proper-divisor sum differs from the starting integer by -1,008,230.

Prime Factor Structure

Factorization String 773 × 1307
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,012,392
Proper Divisor Sum 2,081
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #1010297 ← → #1010329

Radix Representation

Decimal 1010311
Binary 11110110101010000111 (20 bits)
Octal 0o3665207
Hexadecimal 0xF6A87

Divisor Catalog (4)

1 773 1,307 1,010,311

Collatz Trajectory (183 steps to reach 1)

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

1,010,311 3,030,934 1,515,467 4,546,402 2,273,201 6,819,604 3,409,802 1,704,901 5,114,704 2,557,352 1,278,676 639,338 319,669 959,008 479,504 239,752 119,876 59,938 29,969 89,908 44,954 22,477 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425

More profiles

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