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Atlas › Integer Profiles › Node 9,233,601

9,233,601

3 × 13 × 17 × 19 × 733
Deficient Odd Composite

9,233,601 factors as 3 × 13 × 17 × 19 × 733. Its 32 positive divisors give a proper-divisor sum of 5,563,839, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 19 × 733
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,797,440
Proper Divisor Sum 5,563,839
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9233591 ← → #9233611

Radix Representation

Decimal 9233601
Binary 100011001110010011000001 (24 bits)
Octal 0o43162301
Hexadecimal 0x8CE4C1

Divisor Catalog (32)

1 3 13 17 19 39 51 57 221 247 323 663 733 741 969 2,199 4,199 9,529 12,461 12,597 13,927 28,587 37,383 41,781 161,993 181,051 236,759 485,979 543,153 710,277 3,077,867 9,233,601

Collatz Trajectory (106 steps to reach 1)

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

9,233,601 27,700,804 13,850,402 6,925,201 20,775,604 10,387,802 5,193,901 15,581,704 7,790,852 3,895,426 1,947,713 5,843,140 2,921,570 1,460,785 4,382,356 2,191,178 1,095,589 3,286,768 1,643,384 821,692 410,846 205,423 616,270 308,135 924,406 462,203 1,386,610 693,305 2,079,916 1,039,958 519,979 1,559,938 779,969 2,339,908 1,169,954 584,977 1,754,932 877,466 438,733 1,316,200 658,100 329,050 164,525 493,576 246,788 123,394 61,697 185,092 92,546 46,273 138,820 69,410 34,705 104,116 52,058 26,029 78,088 39,044 19,522 9,761

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