λ
Zalai Atlas

9,512,565

3 × 5 × 47 × 103 × 131
Deficient Odd Composite

9,512,565 has the prime decomposition 3 × 5 × 47 × 103 × 131. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 47 × 103 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,814,656
Proper Divisor Sum 6,302,091
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9512561 ← → #9512579

Radix Representation

Decimal 9512565
Binary 100100010010011001110101 (24 bits)
Octal 0o44223165
Hexadecimal 0x912675

Divisor Catalog (32)

1 3 5 15 47 103 131 141 235 309 393 515 655 705 1,545 1,965 4,841 6,157 13,493 14,523 18,471 24,205 30,785 40,479 67,465 72,615 92,355 202,395 634,171 1,902,513 3,170,855 9,512,565

Collatz Trajectory (145 steps to reach 1)

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

9,512,565 28,537,696 14,268,848 7,134,424 3,567,212 1,783,606 891,803 2,675,410 1,337,705 4,013,116 2,006,558 1,003,279 3,009,838 1,504,919 4,514,758 2,257,379 6,772,138 3,386,069 10,158,208 5,079,104 2,539,552 1,269,776 634,888 317,444 158,722 79,361 238,084 119,042 59,521 178,564 89,282 44,641 133,924 66,962 33,481 100,444 50,222 25,111 75,334 37,667 113,002 56,501 169,504 84,752 42,376 21,188 10,594 5,297 15,892 7,946 3,973 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678

More profiles

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