λ
Harmonic Matrix

8,179,921

8179921
Deficient Odd Prime

8,179,921 has digital root 1. The neighboring primes are 8179909 and 8179961; its proper-divisor sum differs from the starting integer by -8,179,920.

Prime Factor Structure

Factorization String 8179921
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,179,922
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8179909 ← → #8179961

Radix Representation

Decimal 8179921
Binary 11111001101000011010001 (23 bits)
Octal 0o37150321
Hexadecimal 0x7CD0D1

Divisor Catalog (2)

Collatz Trajectory (111 steps to reach 1)

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

8,179,921 24,539,764 12,269,882 6,134,941 18,404,824 9,202,412 4,601,206 2,300,603 6,901,810 3,450,905 10,352,716 5,176,358 2,588,179 7,764,538 3,882,269 11,646,808 5,823,404 2,911,702 1,455,851 4,367,554 2,183,777 6,551,332 3,275,666 1,637,833 4,913,500 2,456,750 1,228,375 3,685,126 1,842,563 5,527,690 2,763,845 8,291,536 4,145,768 2,072,884 1,036,442 518,221 1,554,664 777,332 388,666 194,333 583,000 291,500 145,750 72,875 218,626 109,313 327,940 163,970 81,985 245,956 122,978 61,489 184,468 92,234 46,117 138,352 69,176 34,588 17,294 8,647

More profiles

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