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Atlas › Integer Profiles › Node 9,507,454

9,507,454

2 × 112 × 17 × 2311
Deficient Even Composite

9,507,454 factors as 2 × 11^2 × 17 × 2311. Its 24 positive divisors give a proper-divisor sum of 7,097,330, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 11^2 × 17 × 2311
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,604,784
Proper Divisor Sum 7,097,330
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9507451 ← → #9507497

Radix Representation

Decimal 9507454
Binary 100100010001001001111110 (24 bits)
Octal 0o44211176
Hexadecimal 0x91127E

Divisor Catalog (24)

1 2 11 17 22 34 121 187 242 374 2,057 2,311 4,114 4,622 25,421 39,287 50,842 78,574 279,631 432,157 559,262 864,314 4,753,727 9,507,454

Collatz Trajectory (194 steps to reach 1)

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

9,507,454 4,753,727 14,261,182 7,130,591 21,391,774 10,695,887 32,087,662 16,043,831 48,131,494 24,065,747 72,197,242 36,098,621 108,295,864 54,147,932 27,073,966 13,536,983 40,610,950 20,305,475 60,916,426 30,458,213 91,374,640 45,687,320 22,843,660 11,421,830 5,710,915 17,132,746 8,566,373 25,699,120 12,849,560 6,424,780 3,212,390 1,606,195 4,818,586 2,409,293 7,227,880 3,613,940 1,806,970 903,485 2,710,456 1,355,228 677,614 338,807 1,016,422 508,211 1,524,634 762,317 2,286,952 1,143,476 571,738 285,869 857,608 428,804 214,402 107,201 321,604 160,802 80,401 241,204 120,602 60,301

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