976,080

2⁴ × 3 × 5 × 7² × 83

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7^2 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 3,562,272

Proper Divisor Sum 2,586,192

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #976039 ← → #976091

Radix Representation

Decimal	976080
Binary	11101110010011010000 (20 bits)
Octal	0o3562320
Hexadecimal	0xEE4D0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 83 84 98 105 112 120 140 147 166 168 196 210 240 245 249 280 294 332 336 392 415 420 490 498 560 581 588 664 735 784 830 840 980

Collatz Trajectory (90 steps to reach 1)

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

976,080 488,040 244,020 122,010 61,005 183,016 91,508 45,754 22,877 68,632 34,316 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173

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