8,994,832

2⁴ × 7³ × 11 × 149

8,994,832 factors as 2^4 × 7^3 × 11 × 149. Its 80 positive divisors give a proper-divisor sum of 13,325,168, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^4 × 7^3 × 11 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 22,320,000

Proper Divisor Sum 13,325,168

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #8994781 ← → #8994833

Radix Representation

Decimal	8994832
Binary	100010010100000000010000 (24 bits)
Octal	0o42240020
Hexadecimal	0x894010

Divisor Catalog (60 of 80)

1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 149 154 176 196 298 308 343 392 539 596 616 686 784 1,043 1,078 1,192 1,232 1,372 1,639 2,086 2,156 2,384 2,744 3,278 3,773 4,172 4,312 5,488 6,556 7,301 7,546 8,344 8,624 11,473 13,112 14,602 15,092 16,688 22,946 26,224 29,204 30,184 45,892

Collatz Trajectory (181 steps to reach 1)

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

8,994,832 4,497,416 2,248,708 1,124,354 562,177 1,686,532 843,266 421,633 1,264,900 632,450 316,225 948,676 474,338 237,169 711,508 355,754 177,877 533,632 266,816 133,408 66,704 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265

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