1,008,272

2⁴ × 29 × 41 × 53

1,008,272 has digital root 2. The neighboring primes are 1008263 and 1008317; its proper-divisor sum differs from the starting integer by 92,696.

Prime Factor Structure

Factorization String 2^4 × 29 × 41 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,109,240

Proper Divisor Sum 1,100,968

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1008263 ← → #1008317

Radix Representation

Decimal	1008272
Binary	11110110001010010000 (20 bits)
Octal	0o3661220
Hexadecimal	0xF6290

Divisor Catalog (40)

1 2 4 8 16 29 41 53 58 82 106 116 164 212 232 328 424 464 656 848 1,189 1,537 2,173 2,378 3,074 4,346 4,756 6,148 8,692 9,512 12,296 17,384 19,024 24,592 34,768 63,017 126,034 252,068 504,136 1,008,272

Collatz Trajectory (183 steps to reach 1)

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

1,008,272 504,136 252,068 126,034 63,017 189,052 94,526 47,263 141,790 70,895 212,686 106,343 319,030 159,515 478,546 239,273 717,820 358,910 179,455 538,366 269,183 807,550 403,775 1,211,326 605,663 1,816,990 908,495 2,725,486 1,362,743 4,088,230 2,044,115 6,132,346 3,066,173 9,198,520 4,599,260 2,299,630 1,149,815 3,449,446 1,724,723 5,174,170 2,587,085 7,761,256 3,880,628 1,940,314 970,157 2,910,472 1,455,236 727,618 363,809 1,091,428 545,714 272,857 818,572 409,286 204,643 613,930 306,965 920,896 460,448 230,224

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