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Atlas › Integer Profiles › Node 9,500,535

9,500,535

32 × 5 × 11 × 17 × 1129
Abundant Odd Composite

9,500,535 factors as 3^2 × 5 × 11 × 17 × 1129. Its 48 positive divisors give a proper-divisor sum of 9,537,705, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 17 × 1129
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,038,240
Proper Divisor Sum 9,537,705
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9500507 ← → #9500537

Radix Representation

Decimal 9500535
Binary 100100001111011101110111 (24 bits)
Octal 0o44173567
Hexadecimal 0x90F777

Divisor Catalog (48)

1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1,129 1,683 2,805 3,387 5,645 8,415 10,161 12,419 16,935 19,193 37,257 50,805 57,579 62,095 95,965 111,771 172,737 186,285 211,123 287,895 558,855 633,369 863,685 1,055,615 1,900,107 3,166,845 9,500,535

Collatz Trajectory (101 steps to reach 1)

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

9,500,535 28,501,606 14,250,803 42,752,410 21,376,205 64,128,616 32,064,308 16,032,154 8,016,077 24,048,232 12,024,116 6,012,058 3,006,029 9,018,088 4,509,044 2,254,522 1,127,261 3,381,784 1,690,892 845,446 422,723 1,268,170 634,085 1,902,256 951,128 475,564 237,782 118,891 356,674 178,337 535,012 267,506 133,753 401,260 200,630 100,315 300,946 150,473 451,420 225,710 112,855 338,566 169,283 507,850 253,925 761,776 380,888 190,444 95,222 47,611 142,834 71,417 214,252 107,126 53,563 160,690 80,345 241,036 120,518 60,259

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