λ
Harmonic Matrix

7,121,432

23 × 839 × 1061
Deficient Even Composite

7,121,432 has digital root 2. The neighboring primes are 7121417 and 7121437; its proper-divisor sum differs from the starting integer by -861,664.

Prime Factor Structure

Factorization String 2^3 × 839 × 1061
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,381,200
Proper Divisor Sum 6,259,768
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #7121417 ← → #7121437

Radix Representation

Decimal 7121432
Binary 11011001010101000011000 (23 bits)
Octal 0o33125030
Hexadecimal 0x6CAA18

Divisor Catalog (16)

1 2 4 8 839 1,061 1,678 2,122 3,356 4,244 6,712 8,488 890,179 1,780,358 3,560,716 7,121,432

Collatz Trajectory (341 steps to reach 1)

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

7,121,432 3,560,716 1,780,358 890,179 2,670,538 1,335,269 4,005,808 2,002,904 1,001,452 500,726 250,363 751,090 375,545 1,126,636 563,318 281,659 844,978 422,489 1,267,468 633,734 316,867 950,602 475,301 1,425,904 712,952 356,476 178,238 89,119 267,358 133,679 401,038 200,519 601,558 300,779 902,338 451,169 1,353,508 676,754 338,377 1,015,132 507,566 253,783 761,350 380,675 1,142,026 571,013 1,713,040 856,520 428,260 214,130 107,065 321,196 160,598 80,299 240,898 120,449 361,348 180,674 90,337 271,012

More profiles

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