λ
Harmonic Matrix

7,121,206

2 × 157 × 22679
Deficient Even Composite

7,121,206 has digital root 1. The neighboring primes are 7121203 and 7121209; its proper-divisor sum differs from the starting integer by -3,492,092.

Prime Factor Structure

Factorization String 2 × 157 × 22679
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,750,320
Proper Divisor Sum 3,629,114
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #7121203 ← → #7121209

Radix Representation

Decimal 7121206
Binary 11011001010100100110110 (23 bits)
Octal 0o33124466
Hexadecimal 0x6CA936

Divisor Catalog (8)

1 2 157 314 22,679 45,358 3,560,603 7,121,206

Collatz Trajectory (266 steps to reach 1)

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

7,121,206 3,560,603 10,681,810 5,340,905 16,022,716 8,011,358 4,005,679 12,017,038 6,008,519 18,025,558 9,012,779 27,038,338 13,519,169 40,557,508 20,278,754 10,139,377 30,418,132 15,209,066 7,604,533 22,813,600 11,406,800 5,703,400 2,851,700 1,425,850 712,925 2,138,776 1,069,388 534,694 267,347 802,042 401,021 1,203,064 601,532 300,766 150,383 451,150 225,575 676,726 338,363 1,015,090 507,545 1,522,636 761,318 380,659 1,141,978 570,989 1,712,968 856,484 428,242 214,121 642,364 321,182 160,591 481,774 240,887 722,662 361,331 1,083,994 541,997 1,625,992

More profiles

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