λ
Harmonic Matrix

910,831

271 × 3361
Deficient Odd Composite

910,831 has digital root 4. The neighboring primes are 910817 and 910849; its proper-divisor sum differs from the starting integer by -907,198.

Prime Factor Structure

Factorization String 271 × 3361
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 914,464
Proper Divisor Sum 3,633
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #910817 ← → #910849

Radix Representation

Decimal 910831
Binary 11011110010111101111 (20 bits)
Octal 0o3362757
Hexadecimal 0xDE5EF

Divisor Catalog (4)

1 271 3,361 910,831

Collatz Trajectory (294 steps to reach 1)

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

910,831 2,732,494 1,366,247 4,098,742 2,049,371 6,148,114 3,074,057 9,222,172 4,611,086 2,305,543 6,916,630 3,458,315 10,374,946 5,187,473 15,562,420 7,781,210 3,890,605 11,671,816 5,835,908 2,917,954 1,458,977 4,376,932 2,188,466 1,094,233 3,282,700 1,641,350 820,675 2,462,026 1,231,013 3,693,040 1,846,520 923,260 461,630 230,815 692,446 346,223 1,038,670 519,335 1,558,006 779,003 2,337,010 1,168,505 3,505,516 1,752,758 876,379 2,629,138 1,314,569 3,943,708 1,971,854 985,927 2,957,782 1,478,891 4,436,674 2,218,337 6,655,012 3,327,506 1,663,753 4,991,260 2,495,630 1,247,815

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