9,980,642

2 × 7 × 53 × 13451

9,980,642 factors as 2 × 7 × 53 × 13451. Its 16 positive divisors give a proper-divisor sum of 7,453,150, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2 × 7 × 53 × 13451

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,433,792

Proper Divisor Sum 7,453,150

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9980629 ← → #9980693

Radix Representation

Decimal	9980642
Binary	100110000100101011100010 (24 bits)
Octal	0o46045342
Hexadecimal	0x984AE2

Divisor Catalog (16)

1 2 7 14 53 106 371 742 13,451 26,902 94,157 188,314 712,903 1,425,806 4,990,321 9,980,642

Collatz Trajectory (176 steps to reach 1)

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

9,980,642 4,990,321 14,970,964 7,485,482 3,742,741 11,228,224 5,614,112 2,807,056 1,403,528 701,764 350,882 175,441 526,324 263,162 131,581 394,744 197,372 98,686 49,343 148,030 74,015 222,046 111,023 333,070 166,535 499,606 249,803 749,410 374,705 1,124,116 562,058 281,029 843,088 421,544 210,772 105,386 52,693 158,080 79,040 39,520 19,760 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762

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