λ
Harmonic Matrix

1,319,121

32 × 103 × 1423
Deficient Odd Composite

1,319,121 has digital root 9. The neighboring primes are 1319107 and 1319137; its proper-divisor sum differs from the starting integer by -712,994.

Prime Factor Structure

Factorization String 3^2 × 103 × 1423
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,925,248
Proper Divisor Sum 606,127
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1319107 ← → #1319137

Radix Representation

Decimal 1319121
Binary 101000010000011010001 (21 bits)
Octal 0o5020321
Hexadecimal 0x1420D1

Divisor Catalog (12)

1 3 9 103 309 927 1,423 4,269 12,807 146,569 439,707 1,319,121

Collatz Trajectory (199 steps to reach 1)

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

1,319,121 3,957,364 1,978,682 989,341 2,968,024 1,484,012 742,006 371,003 1,113,010 556,505 1,669,516 834,758 417,379 1,252,138 626,069 1,878,208 939,104 469,552 234,776 117,388 58,694 29,347 88,042 44,021 132,064 66,032 33,016 16,508 8,254 4,127 12,382 6,191 18,574 9,287 27,862 13,931 41,794 20,897 62,692 31,346 15,673 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219

More profiles

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