973,008

2⁴ × 3² × 29 × 233

For 973,008, the 60 positive divisors have a total of 2,829,060. Removing 973,008 leaves 1,856,052, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 29 × 233

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 2,829,060

Proper Divisor Sum 1,856,052

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #973003 ← → #973031

Radix Representation

Decimal	973008
Binary	11101101100011010000 (20 bits)
Octal	0o3554320
Hexadecimal	0xED8D0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 233 261 348 464 466 522 696 699 932 1,044 1,392 1,398 1,864 2,088 2,097 2,796 3,728 4,176 4,194 5,592 6,757 8,388 11,184 13,514 16,776 20,271 27,028 33,552 40,542 54,056 60,813 81,084 108,112 121,626 162,168 243,252 324,336 486,504 973,008

Collatz Trajectory (38 steps to reach 1)

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

973,008 486,504 243,252 121,626 60,813 182,440 91,220 45,610 22,805 68,416 34,208 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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