λ
Harmonic Matrix

1,429,285

5 × 11 × 13 × 1999
Deficient Odd Composite

1,429,285 has digital root 4. The neighboring primes are 1429283 and 1429303; its proper-divisor sum differs from the starting integer by -842,570.

Prime Factor Structure

Factorization String 5 × 11 × 13 × 1999
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,016,000
Proper Divisor Sum 586,715
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1429283 ← → #1429303

Radix Representation

Decimal 1429285
Binary 101011100111100100101 (21 bits)
Octal 0o5347445
Hexadecimal 0x15CF25

Divisor Catalog (16)

1 5 11 13 55 65 143 715 1,999 9,995 21,989 25,987 109,945 129,935 285,857 1,429,285

Collatz Trajectory (181 steps to reach 1)

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

1,429,285 4,287,856 2,143,928 1,071,964 535,982 267,991 803,974 401,987 1,205,962 602,981 1,808,944 904,472 452,236 226,118 113,059 339,178 169,589 508,768 254,384 127,192 63,596 31,798 15,899 47,698 23,849 71,548 35,774 17,887 53,662 26,831 80,494 40,247 120,742 60,371 181,114 90,557 271,672 135,836 67,918 33,959 101,878 50,939 152,818 76,409 229,228 114,614 57,307 171,922 85,961 257,884 128,942 64,471 193,414 96,707 290,122 145,061 435,184 217,592 108,796 54,398

More profiles

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