8,024,304

2⁴ × 3 × 167173

8,024,304 factors as 2^4 × 3 × 167173. Its 20 positive divisors give a proper-divisor sum of 12,705,272, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 167173

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 20,729,576

Proper Divisor Sum 12,705,272

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8024293 ← → #8024321

Radix Representation

Decimal	8024304
Binary	11110100111000011110000 (23 bits)
Octal	0o36470360
Hexadecimal	0x7A70F0

Divisor Catalog (20)

Collatz Trajectory (67 steps to reach 1)

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

8,024,304 4,012,152 2,006,076 1,003,038 501,519 1,504,558 752,279 2,256,838 1,128,419 3,385,258 1,692,629 5,077,888 2,538,944 1,269,472 634,736 317,368 158,684 79,342 39,671 119,014 59,507 178,522 89,261 267,784 133,892 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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