λ
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Atlas › Integer Profiles › Node 38,199,008

38,199,008

25 × 53 × 101 × 223
Abundant Even Composite

38,199,008 factors as 2^5 × 53 × 101 × 223. Its 48 positive divisors give a proper-divisor sum of 39,529,888, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^5 × 53 × 101 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 77,728,896
Proper Divisor Sum 39,529,888
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #38199001 ← → #38199011

Radix Representation

Decimal 38199008
Binary 10010001101101111011100000 (26 bits)
Octal 0o221557340
Hexadecimal 0x246DEE0

Divisor Catalog (48)

1 2 4 8 16 32 53 101 106 202 212 223 404 424 446 808 848 892 1,616 1,696 1,784 3,232 3,568 5,353 7,136 10,706 11,819 21,412 22,523 23,638 42,824 45,046 47,276 85,648 90,092 94,552 171,296 180,184 189,104 360,368 378,208 720,736 1,193,719 2,387,438 4,774,876 9,549,752 19,099,504 38,199,008

Collatz Trajectory (103 steps to reach 1)

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

38,199,008 19,099,504 9,549,752 4,774,876 2,387,438 1,193,719 3,581,158 1,790,579 5,371,738 2,685,869 8,057,608 4,028,804 2,014,402 1,007,201 3,021,604 1,510,802 755,401 2,266,204 1,133,102 566,551 1,699,654 849,827 2,549,482 1,274,741 3,824,224 1,912,112 956,056 478,028 239,014 119,507 358,522 179,261 537,784 268,892 134,446 67,223 201,670 100,835 302,506 151,253 453,760 226,880 113,440 56,720 28,360 14,180 7,090 3,545 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187

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