8,414,320

2⁴ × 5 × 17 × 23 × 269

8,414,320 factors as 2^4 × 5 × 17 × 23 × 269. Its 80 positive divisors give a proper-divisor sum of 13,280,720, so this integer is abundant. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 23 × 269

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 21,695,040

Proper Divisor Sum 13,280,720

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8414311 ← → #8414347

Radix Representation

Decimal	8414320
Binary	100000000110010001110000 (24 bits)
Octal	0o40062160
Hexadecimal	0x806470

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 269 272 340 368 391 460 538 680 782 920 1,076 1,345 1,360 1,564 1,840 1,955 2,152 2,690 3,128 3,910 4,304 4,573 5,380 6,187 6,256 7,820 9,146 10,760 12,374 15,640 18,292 21,520 22,865 24,748 30,935 31,280 36,584 45,730

Collatz Trajectory (243 steps to reach 1)

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

8,414,320 4,207,160 2,103,580 1,051,790 525,895 1,577,686 788,843 2,366,530 1,183,265 3,549,796 1,774,898 887,449 2,662,348 1,331,174 665,587 1,996,762 998,381 2,995,144 1,497,572 748,786 374,393 1,123,180 561,590 280,795 842,386 421,193 1,263,580 631,790 315,895 947,686 473,843 1,421,530 710,765 2,132,296 1,066,148 533,074 266,537 799,612 399,806 199,903 599,710 299,855 899,566 449,783 1,349,350 674,675 2,024,026 1,012,013 3,036,040 1,518,020 759,010 379,505 1,138,516 569,258 284,629 853,888 426,944 213,472 106,736 53,368

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