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Atlas › Integer Profiles › Node 9,309,735

9,309,735

34 × 5 × 127 × 181
Deficient Odd Composite

9,309,735 factors as 3^4 × 5 × 127 × 181. Its 40 positive divisors give a proper-divisor sum of 7,603,161, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 127 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,912,896
Proper Divisor Sum 7,603,161
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9309721 ← → #9309737

Radix Representation

Decimal 9309735
Binary 100011100000111000100111 (24 bits)
Octal 0o43407047
Hexadecimal 0x8E0E27

Divisor Catalog (40)

1 3 5 9 15 27 45 81 127 135 181 381 405 543 635 905 1,143 1,629 1,905 2,715 3,429 4,887 5,715 8,145 10,287 14,661 17,145 22,987 24,435 51,435 68,961 73,305 114,935 206,883 344,805 620,649 1,034,415 1,861,947 3,103,245 9,309,735

Collatz Trajectory (194 steps to reach 1)

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

9,309,735 27,929,206 13,964,603 41,893,810 20,946,905 62,840,716 31,420,358 15,710,179 47,130,538 23,565,269 70,695,808 35,347,904 17,673,952 8,836,976 4,418,488 2,209,244 1,104,622 552,311 1,656,934 828,467 2,485,402 1,242,701 3,728,104 1,864,052 932,026 466,013 1,398,040 699,020 349,510 174,755 524,266 262,133 786,400 393,200 196,600 98,300 49,150 24,575 73,726 36,863 110,590 55,295 165,886 82,943 248,830 124,415 373,246 186,623 559,870 279,935 839,806 419,903 1,259,710 629,855 1,889,566 944,783 2,834,350 1,417,175 4,251,526 2,125,763

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