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Atlas › Integer Profiles › Node 8,023,720

8,023,720

23 × 5 × 29 × 6917
Abundant Even Composite

8,023,720 factors as 2^3 × 5 × 29 × 6917. Its 32 positive divisors give a proper-divisor sum of 10,654,880, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 29 × 6917
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,678,600
Proper Divisor Sum 10,654,880
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8023669 ← → #8023739

Radix Representation

Decimal 8023720
Binary 11110100110111010101000 (23 bits)
Octal 0o36467250
Hexadecimal 0x7A6EA8

Divisor Catalog (32)

1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1,160 6,917 13,834 27,668 34,585 55,336 69,170 138,340 200,593 276,680 401,186 802,372 1,002,965 1,604,744 2,005,930 4,011,860 8,023,720

Collatz Trajectory (67 steps to reach 1)

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

8,023,720 4,011,860 2,005,930 1,002,965 3,008,896 1,504,448 752,224 376,112 188,056 94,028 47,014 23,507 70,522 35,261 105,784 52,892 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630 22,315 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488 28,244 14,122 7,061 21,184 10,592 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40

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