λ
Harmonic Matrix

7,711,189

7711189
Deficient Odd Prime

7,711,189 has digital root 7. The neighboring primes are 7711181 and 7711201; its proper-divisor sum differs from the starting integer by -7,711,188.

Prime Factor Structure

Factorization String 7711189
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,711,190
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7711181 ← → #7711201

Radix Representation

Decimal 7711189
Binary 11101011010100111010101 (23 bits)
Octal 0o35324725
Hexadecimal 0x75A9D5

Divisor Catalog (2)

Collatz Trajectory (124 steps to reach 1)

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

7,711,189 23,133,568 11,566,784 5,783,392 2,891,696 1,445,848 722,924 361,462 180,731 542,194 271,097 813,292 406,646 203,323 609,970 304,985 914,956 457,478 228,739 686,218 343,109 1,029,328 514,664 257,332 128,666 64,333 193,000 96,500 48,250 24,125 72,376 36,188 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156

More profiles

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