λ
Harmonic Matrix

8,011,561

8011561
Deficient Odd Prime

8,011,561 has digital root 4. The neighboring primes are 8011529 and 8011571; its proper-divisor sum differs from the starting integer by -8,011,560.

Prime Factor Structure

Factorization String 8011561
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,011,562
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8011529 ← → #8011571

Radix Representation

Decimal 8011561
Binary 11110100011111100101001 (23 bits)
Octal 0o36437451
Hexadecimal 0x7A3F29

Divisor Catalog (2)

1 8,011,561

Collatz Trajectory (168 steps to reach 1)

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

8,011,561 24,034,684 12,017,342 6,008,671 18,026,014 9,013,007 27,039,022 13,519,511 40,558,534 20,279,267 60,837,802 30,418,901 91,256,704 45,628,352 22,814,176 11,407,088 5,703,544 2,851,772 1,425,886 712,943 2,138,830 1,069,415 3,208,246 1,604,123 4,812,370 2,406,185 7,218,556 3,609,278 1,804,639 5,413,918 2,706,959 8,120,878 4,060,439 12,181,318 6,090,659 18,271,978 9,135,989 27,407,968 13,703,984 6,851,992 3,425,996 1,712,998 856,499 2,569,498 1,284,749 3,854,248 1,927,124 963,562 481,781 1,445,344 722,672 361,336 180,668 90,334 45,167 135,502 67,751 203,254 101,627 304,882

More profiles

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