λ
Harmonic Matrix

1,434,165

3 × 5 × 23 × 4157
Deficient Odd Composite

1,434,165 has digital root 6. The neighboring primes are 1434161 and 1434187; its proper-divisor sum differs from the starting integer by -473,322.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 4157
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,395,008
Proper Divisor Sum 960,843
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1434161 ← → #1434187

Radix Representation

Decimal 1434165
Binary 101011110001000110101 (21 bits)
Octal 0o5361065
Hexadecimal 0x15E235

Divisor Catalog (16)

1 3 5 15 23 69 115 345 4,157 12,471 20,785 62,355 95,611 286,833 478,055 1,434,165

Collatz Trajectory (75 steps to reach 1)

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

1,434,165 4,302,496 2,151,248 1,075,624 537,812 268,906 134,453 403,360 201,680 100,840 50,420 25,210 12,605 37,816 18,908 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44

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