λ
Harmonic Matrix

1,096,831

1096831
Deficient Odd Prime

1,096,831 has digital root 1. The neighboring primes are 1096829 and 1096853; its proper-divisor sum differs from the starting integer by -1,096,830.

Prime Factor Structure

Factorization String 1096831
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,096,832
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1096829 ← → #1096853

Radix Representation

Decimal 1096831
Binary 100001011110001111111 (21 bits)
Octal 0o4136177
Hexadecimal 0x10BC7F

Divisor Catalog (2)

Collatz Trajectory (170 steps to reach 1)

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

1,096,831 3,290,494 1,645,247 4,935,742 2,467,871 7,403,614 3,701,807 11,105,422 5,552,711 16,658,134 8,329,067 24,987,202 12,493,601 37,480,804 18,740,402 9,370,201 28,110,604 14,055,302 7,027,651 21,082,954 10,541,477 31,624,432 15,812,216 7,906,108 3,953,054 1,976,527 5,929,582 2,964,791 8,894,374 4,447,187 13,341,562 6,670,781 20,012,344 10,006,172 5,003,086 2,501,543 7,504,630 3,752,315 11,256,946 5,628,473 16,885,420 8,442,710 4,221,355 12,664,066 6,332,033 18,996,100 9,498,050 4,749,025 14,247,076 7,123,538 3,561,769 10,685,308 5,342,654 2,671,327 8,013,982 4,006,991 12,020,974 6,010,487 18,031,462 9,015,731

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