λ
Harmonic Matrix

1,035,009

32 × 115001
Deficient Odd Composite

1,035,009 has digital root 9. The neighboring primes are 1035007 and 1035019; its proper-divisor sum differs from the starting integer by -574,992.

Prime Factor Structure

Factorization String 3^2 × 115001
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,495,026
Proper Divisor Sum 460,017
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1035007 ← → #1035019

Radix Representation

Decimal 1035009
Binary 11111100101100000001 (20 bits)
Octal 0o3745401
Hexadecimal 0xFCB01

Divisor Catalog (6)

1 3 9 115,001 345,003 1,035,009

Collatz Trajectory (90 steps to reach 1)

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

1,035,009 3,105,028 1,552,514 776,257 2,328,772 1,164,386 582,193 1,746,580 873,290 436,645 1,309,936 654,968 327,484 163,742 81,871 245,614 122,807 368,422 184,211 552,634 276,317 828,952 414,476 207,238 103,619 310,858 155,429 466,288 233,144 116,572 58,286 29,143 87,430 43,715 131,146 65,573 196,720 98,360 49,180 24,590 12,295 36,886 18,443 55,330 27,665 82,996 41,498 20,749 62,248 31,124 15,562 7,781 23,344 11,672 5,836 2,918 1,459 4,378 2,189 6,568

More profiles

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