8,721,028

2² × 41² × 1297

8,721,028 factors as 2^2 × 41^2 × 1297. Its 18 positive divisors give a proper-divisor sum of 6,934,150, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^2 × 41^2 × 1297

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 15,655,178

Proper Divisor Sum 6,934,150

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8720977 ← → #8721029

Radix Representation

Decimal	8721028
Binary	100001010001001010000100 (24 bits)
Octal	0o41211204
Hexadecimal	0x851284

Divisor Catalog (18)

1 2 4 41 82 164 1,297 1,681 2,594 3,362 5,188 6,724 53,177 106,354 212,708 2,180,257 4,360,514 8,721,028

Collatz Trajectory (181 steps to reach 1)

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

8,721,028 4,360,514 2,180,257 6,540,772 3,270,386 1,635,193 4,905,580 2,452,790 1,226,395 3,679,186 1,839,593 5,518,780 2,759,390 1,379,695 4,139,086 2,069,543 6,208,630 3,104,315 9,312,946 4,656,473 13,969,420 6,984,710 3,492,355 10,477,066 5,238,533 15,715,600 7,857,800 3,928,900 1,964,450 982,225 2,946,676 1,473,338 736,669 2,210,008 1,105,004 552,502 276,251 828,754 414,377 1,243,132 621,566 310,783 932,350 466,175 1,398,526 699,263 2,097,790 1,048,895 3,146,686 1,573,343 4,720,030 2,360,015 7,080,046 3,540,023 10,620,070 5,310,035 15,930,106 7,965,053 23,895,160 11,947,580

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