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Atlas › Integer Profiles › Node 38,006,004

38,006,004

22 × 3 × 19 × 166693
Abundant Even Composite

38,006,004 factors as 2^2 × 3 × 19 × 166693. Its 24 positive divisors give a proper-divisor sum of 55,342,636, so this integer is abundant. The Collatz stopping time is 271 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 166693
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 93,348,640
Proper Divisor Sum 55,342,636
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #38005987 ← → #38006029

Radix Representation

Decimal 38006004
Binary 10010000111110110011110100 (26 bits)
Octal 0o220766364
Hexadecimal 0x243ECF4

Divisor Catalog (24)

1 2 3 4 6 12 19 38 57 76 114 228 166,693 333,386 500,079 666,772 1,000,158 2,000,316 3,167,167 6,334,334 9,501,501 12,668,668 19,003,002 38,006,004

Collatz Trajectory (271 steps to reach 1)

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

38,006,004 19,003,002 9,501,501 28,504,504 14,252,252 7,126,126 3,563,063 10,689,190 5,344,595 16,033,786 8,016,893 24,050,680 12,025,340 6,012,670 3,006,335 9,019,006 4,509,503 13,528,510 6,764,255 20,292,766 10,146,383 30,439,150 15,219,575 45,658,726 22,829,363 68,488,090 34,244,045 102,732,136 51,366,068 25,683,034 12,841,517 38,524,552 19,262,276 9,631,138 4,815,569 14,446,708 7,223,354 3,611,677 10,835,032 5,417,516 2,708,758 1,354,379 4,063,138 2,031,569 6,094,708 3,047,354 1,523,677 4,571,032 2,285,516 1,142,758 571,379 1,714,138 857,069 2,571,208 1,285,604 642,802 321,401 964,204 482,102 241,051

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