λ
Harmonic Matrix

1,032,115

5 × 7 × 37 × 797
Deficient Odd Composite

1,032,115 has digital root 4. The neighboring primes are 1032107 and 1032131; its proper-divisor sum differs from the starting integer by -608,678.

Prime Factor Structure

Factorization String 5 × 7 × 37 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,455,552
Proper Divisor Sum 423,437
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #1032107 ← → #1032131

Radix Representation

Decimal 1032115
Binary 11111011111110110011 (20 bits)
Octal 0o3737663
Hexadecimal 0xFBFB3

Divisor Catalog (16)

1 5 7 35 37 185 259 797 1,295 3,985 5,579 27,895 29,489 147,445 206,423 1,032,115

Collatz Trajectory (103 steps to reach 1)

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

1,032,115 3,096,346 1,548,173 4,644,520 2,322,260 1,161,130 580,565 1,741,696 870,848 435,424 217,712 108,856 54,428 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364

More profiles

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