8,681,672

2³ × 23 × 29 × 1627

8,681,672 is even and not a perfect square. Its factorization is 2^3 × 23 × 29 × 1627 and its 32 divisors sum to 17,582,400.

Prime Factor Structure

Factorization String 2^3 × 23 × 29 × 1627

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,582,400

Proper Divisor Sum 8,900,728

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8681669 ← → #8681693

Radix Representation

Decimal	8681672
Binary	100001000111100011001000 (24 bits)
Octal	0o41074310
Hexadecimal	0x8478C8

Divisor Catalog (32)

1 2 4 8 23 29 46 58 92 116 184 232 667 1,334 1,627 2,668 3,254 5,336 6,508 13,016 37,421 47,183 74,842 94,366 149,684 188,732 299,368 377,464 1,085,209 2,170,418 4,340,836 8,681,672

Collatz Trajectory (168 steps to reach 1)

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

8,681,672 4,340,836 2,170,418 1,085,209 3,255,628 1,627,814 813,907 2,441,722 1,220,861 3,662,584 1,831,292 915,646 457,823 1,373,470 686,735 2,060,206 1,030,103 3,090,310 1,545,155 4,635,466 2,317,733 6,953,200 3,476,600 1,738,300 869,150 434,575 1,303,726 651,863 1,955,590 977,795 2,933,386 1,466,693 4,400,080 2,200,040 1,100,020 550,010 275,005 825,016 412,508 206,254 103,127 309,382 154,691 464,074 232,037 696,112 348,056 174,028 87,014 43,507 130,522 65,261 195,784 97,892 48,946 24,473 73,420 36,710 18,355 55,066

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