λ
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Atlas › Integer Profiles › Node 94,382,176

94,382,176

25 × 7 × 421349
Abundant Even Composite

94,382,176 factors as 2^5 × 7 × 421349. Its 24 positive divisors give a proper-divisor sum of 117,978,224, so this integer is abundant. The Collatz stopping time is 249 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 421349
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 212,360,400
Proper Divisor Sum 117,978,224
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #94382159 ← → #94382191

Radix Representation

Decimal 94382176
Binary 101101000000010100001100000 (27 bits)
Octal 0o550024140
Hexadecimal 0x5A02860

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 421,349 842,698 1,685,396 2,949,443 3,370,792 5,898,886 6,741,584 11,797,772 13,483,168 23,595,544 47,191,088 94,382,176

Collatz Trajectory (249 steps to reach 1)

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

94,382,176 47,191,088 23,595,544 11,797,772 5,898,886 2,949,443 8,848,330 4,424,165 13,272,496 6,636,248 3,318,124 1,659,062 829,531 2,488,594 1,244,297 3,732,892 1,866,446 933,223 2,799,670 1,399,835 4,199,506 2,099,753 6,299,260 3,149,630 1,574,815 4,724,446 2,362,223 7,086,670 3,543,335 10,630,006 5,315,003 15,945,010 7,972,505 23,917,516 11,958,758 5,979,379 17,938,138 8,969,069 26,907,208 13,453,604 6,726,802 3,363,401 10,090,204 5,045,102 2,522,551 7,567,654 3,783,827 11,351,482 5,675,741 17,027,224 8,513,612 4,256,806 2,128,403 6,385,210 3,192,605 9,577,816 4,788,908 2,394,454 1,197,227 3,591,682

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