λ
Harmonic Matrix

877,481

11 × 241 × 331
Deficient Odd Composite

877,481 has digital root 8. The neighboring primes are 877469 and 877531; its proper-divisor sum differs from the starting integer by -790,834.

Prime Factor Structure

Factorization String 11 × 241 × 331
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 964,128
Proper Divisor Sum 86,647
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #877469 ← → #877531

Radix Representation

Decimal 877481
Binary 11010110001110101001 (20 bits)
Octal 0o3261651
Hexadecimal 0xD63A9

Divisor Catalog (8)

1 11 241 331 2,651 3,641 79,771 877,481

Collatz Trajectory (237 steps to reach 1)

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

877,481 2,632,444 1,316,222 658,111 1,974,334 987,167 2,961,502 1,480,751 4,442,254 2,221,127 6,663,382 3,331,691 9,995,074 4,997,537 14,992,612 7,496,306 3,748,153 11,244,460 5,622,230 2,811,115 8,433,346 4,216,673 12,650,020 6,325,010 3,162,505 9,487,516 4,743,758 2,371,879 7,115,638 3,557,819 10,673,458 5,336,729 16,010,188 8,005,094 4,002,547 12,007,642 6,003,821 18,011,464 9,005,732 4,502,866 2,251,433 6,754,300 3,377,150 1,688,575 5,065,726 2,532,863 7,598,590 3,799,295 11,397,886 5,698,943 17,096,830 8,548,415 25,645,246 12,822,623 38,467,870 19,233,935 57,701,806 28,850,903 86,552,710 43,276,355

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