λ
Harmonic Matrix

775,266

2 × 3 × 157 × 823
Abundant Even Composite

775,266 has digital root 6. The neighboring primes are 775259 and 775267; its proper-divisor sum differs from the starting integer by 11,772.

Prime Factor Structure

Factorization String 2 × 3 × 157 × 823
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,562,304
Proper Divisor Sum 787,038
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #775259 ← → #775267

Radix Representation

Decimal 775266
Binary 10111101010001100010 (20 bits)
Octal 0o2752142
Hexadecimal 0xBD462

Divisor Catalog (16)

1 2 3 6 157 314 471 823 942 1,646 2,469 4,938 129,211 258,422 387,633 775,266

Collatz Trajectory (268 steps to reach 1)

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

775,266 387,633 1,162,900 581,450 290,725 872,176 436,088 218,044 109,022 54,511 163,534 81,767 245,302 122,651 367,954 183,977 551,932 275,966 137,983 413,950 206,975 620,926 310,463 931,390 465,695 1,397,086 698,543 2,095,630 1,047,815 3,143,446 1,571,723 4,715,170 2,357,585 7,072,756 3,536,378 1,768,189 5,304,568 2,652,284 1,326,142 663,071 1,989,214 994,607 2,983,822 1,491,911 4,475,734 2,237,867 6,713,602 3,356,801 10,070,404 5,035,202 2,517,601 7,552,804 3,776,402 1,888,201 5,664,604 2,832,302 1,416,151 4,248,454 2,124,227 6,372,682

More profiles

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