9,972,033

3 × 101 × 32911

9,972,033 factors as 3 × 101 × 32911. Its 8 positive divisors give a proper-divisor sum of 3,456,063, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3 × 101 × 32911

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,428,096

Proper Divisor Sum 3,456,063

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9972029 ← → #9972043

Radix Representation

Decimal	9972033
Binary	100110000010100101000001 (24 bits)
Octal	0o46024501
Hexadecimal	0x982941

Divisor Catalog (8)

1 3 101 303 32,911 98,733 3,324,011 9,972,033

Collatz Trajectory (145 steps to reach 1)

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

9,972,033 29,916,100 14,958,050 7,479,025 22,437,076 11,218,538 5,609,269 16,827,808 8,413,904 4,206,952 2,103,476 1,051,738 525,869 1,577,608 788,804 394,402 197,201 591,604 295,802 147,901 443,704 221,852 110,926 55,463 166,390 83,195 249,586 124,793 374,380 187,190 93,595 280,786 140,393 421,180 210,590 105,295 315,886 157,943 473,830 236,915 710,746 355,373 1,066,120 533,060 266,530 133,265 399,796 199,898 99,949 299,848 149,924 74,962 37,481 112,444 56,222 28,111 84,334 42,167 126,502 63,251

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