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2,314,984

23 × 7 × 67 × 617
Abundant Even Composite

2,314,984 factors as 2^3 × 7 × 67 × 617. Its 32 positive divisors give a proper-divisor sum of 2,727,896, so this integer is abundant. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 67 × 617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,042,880
Proper Divisor Sum 2,727,896
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2314969 ← → #2314997

Radix Representation

Decimal 2314984
Binary 1000110101001011101000 (22 bits)
Octal 0o10651350
Hexadecimal 0x2352E8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 67 134 268 469 536 617 938 1,234 1,876 2,468 3,752 4,319 4,936 8,638 17,276 34,552 41,339 82,678 165,356 289,373 330,712 578,746 1,157,492 2,314,984

Collatz Trajectory (192 steps to reach 1)

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

2,314,984 1,157,492 578,746 289,373 868,120 434,060 217,030 108,515 325,546 162,773 488,320 244,160 122,080 61,040 30,520 15,260 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449

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