9,267,648

2⁶ × 3 × 13 × 47 × 79

9,267,648 is even and not a perfect square. Its factorization is 2^6 × 3 × 13 × 47 × 79 and its 112 divisors sum to 27,310,080.

Prime Factor Structure

Factorization String 2^6 × 3 × 13 × 47 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 27,310,080

Proper Divisor Sum 18,042,432

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9267647 ← → #9267653

Radix Representation

Decimal	9267648
Binary	100011010110100111000000 (24 bits)
Octal	0o43264700
Hexadecimal	0x8D69C0

Divisor Catalog (60 of 112)

1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 79 94 96 104 141 156 158 188 192 208 237 282 312 316 376 416 474 564 611 624 632 752 832 948 1,027 1,128 1,222 1,248 1,264 1,504 1,833 1,896 2,054 2,256 2,444 2,496 2,528 3,008 3,081 3,666 3,713 3,792

Collatz Trajectory (163 steps to reach 1)

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

9,267,648 4,633,824 2,316,912 1,158,456 579,228 289,614 144,807 434,422 217,211 651,634 325,817 977,452 488,726 244,363 733,090 366,545 1,099,636 549,818 274,909 824,728 412,364 206,182 103,091 309,274 154,637 463,912 231,956 115,978 57,989 173,968 86,984 43,492 21,746 10,873 32,620 16,310 8,155 24,466 12,233 36,700 18,350 9,175 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807 17,422 8,711 26,134 13,067 39,202 19,601 58,804

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