8,973,009

3² × 997001

8,973,009 factors as 3^2 × 997001. Its 6 positive divisors give a proper-divisor sum of 3,988,017, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 3^2 × 997001

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 12,961,026

Proper Divisor Sum 3,988,017

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8973007 ← → #8973023

Radix Representation

Decimal	8973009
Binary	100010001110101011010001 (24 bits)
Octal	0o42165321
Hexadecimal	0x88EAD1

Divisor Catalog (6)

1 3 9 997,001 2,991,003 8,973,009

Collatz Trajectory (137 steps to reach 1)

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

8,973,009 26,919,028 13,459,514 6,729,757 20,189,272 10,094,636 5,047,318 2,523,659 7,570,978 3,785,489 11,356,468 5,678,234 2,839,117 8,517,352 4,258,676 2,129,338 1,064,669 3,194,008 1,597,004 798,502 399,251 1,197,754 598,877 1,796,632 898,316 449,158 224,579 673,738 336,869 1,010,608 505,304 252,652 126,326 63,163 189,490 94,745 284,236 142,118 71,059 213,178 106,589 319,768 159,884 79,942 39,971 119,914 59,957 179,872 89,936 44,968 22,484 11,242 5,621 16,864 8,432 4,216 2,108 1,054 527 1,582

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