8,024,376

2³ × 3 × 334349

8,024,376 factors as 2^3 × 3 × 334349. Its 16 positive divisors give a proper-divisor sum of 12,036,624, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 334349

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 20,061,000

Proper Divisor Sum 12,036,624

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8024371 ← → #8024383

Radix Representation

Decimal	8024376
Binary	11110100111000100111000 (23 bits)
Octal	0o36470470
Hexadecimal	0x7A7138

Divisor Catalog (16)

1 2 3 4 6 8 12 24 334,349 668,698 1,003,047 1,337,396 2,006,094 2,674,792 4,012,188 8,024,376

Collatz Trajectory (67 steps to reach 1)

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

8,024,376 4,012,188 2,006,094 1,003,047 3,009,142 1,504,571 4,513,714 2,256,857 6,770,572 3,385,286 1,692,643 5,077,930 2,538,965 7,616,896 3,808,448 1,904,224 952,112 476,056 238,028 119,014 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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