λ
Harmonic Matrix

1,449,075

3 × 52 × 1392
Deficient Odd Composite

1,449,075 has digital root 3. The neighboring primes are 1449067 and 1449089; its proper-divisor sum differs from the starting integer by -484,986.

Prime Factor Structure

Factorization String 3 × 5^2 × 139^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 2,413,164
Proper Divisor Sum 964,089
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1449067 ← → #1449089

Radix Representation

Decimal 1449075
Binary 101100001110001110011 (21 bits)
Octal 0o5416163
Hexadecimal 0x161C73

Divisor Catalog (18)

1 3 5 15 25 75 139 417 695 2,085 3,475 10,425 19,321 57,963 96,605 289,815 483,025 1,449,075

Collatz Trajectory (75 steps to reach 1)

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

1,449,075 4,347,226 2,173,613 6,520,840 3,260,420 1,630,210 815,105 2,445,316 1,222,658 611,329 1,833,988 916,994 458,497 1,375,492 687,746 343,873 1,031,620 515,810 257,905 773,716 386,858 193,429 580,288 290,144 145,072 72,536 36,268 18,134 9,067 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44

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