λ
Harmonic Matrix

9,523,471

9523471
Deficient Odd Prime

9,523,471 has digital root 4. The neighboring primes are 9523457 and 9523499; its proper-divisor sum differs from the starting integer by -9,523,470.

Prime Factor Structure

Factorization String 9523471
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,523,472
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9523457 ← → #9523499

Radix Representation

Decimal 9523471
Binary 100100010101000100001111 (24 bits)
Octal 0o44250417
Hexadecimal 0x91510F

Divisor Catalog (2)

Collatz Trajectory (269 steps to reach 1)

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

9,523,471 28,570,414 14,285,207 42,855,622 21,427,811 64,283,434 32,141,717 96,425,152 48,212,576 24,106,288 12,053,144 6,026,572 3,013,286 1,506,643 4,519,930 2,259,965 6,779,896 3,389,948 1,694,974 847,487 2,542,462 1,271,231 3,813,694 1,906,847 5,720,542 2,860,271 8,580,814 4,290,407 12,871,222 6,435,611 19,306,834 9,653,417 28,960,252 14,480,126 7,240,063 21,720,190 10,860,095 32,580,286 16,290,143 48,870,430 24,435,215 73,305,646 36,652,823 109,958,470 54,979,235 164,937,706 82,468,853 247,406,560 123,703,280 61,851,640 30,925,820 15,462,910 7,731,455 23,194,366 11,597,183 34,791,550 17,395,775 52,187,326 26,093,663 78,280,990

More profiles

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