λ
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Atlas › Integer Profiles › Node 36,924,882

36,924,882

2 × 3 × 103 × 149 × 401
Abundant Even Composite

36,924,882 factors as 2 × 3 × 103 × 149 × 401. Its 32 positive divisors give a proper-divisor sum of 38,329,518, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2 × 3 × 103 × 149 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 75,254,400
Proper Divisor Sum 38,329,518
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36924851 ← → #36924883

Radix Representation

Decimal 36924882
Binary 10001100110110110111010010 (26 bits)
Octal 0o214666722
Hexadecimal 0x2336DD2

Divisor Catalog (32)

1 2 3 6 103 149 206 298 309 401 447 618 802 894 1,203 2,406 15,347 30,694 41,303 46,041 59,749 82,606 92,082 119,498 123,909 179,247 247,818 358,494 6,154,147 12,308,294 18,462,441 36,924,882

Collatz Trajectory (196 steps to reach 1)

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

36,924,882 18,462,441 55,387,324 27,693,662 13,846,831 41,540,494 20,770,247 62,310,742 31,155,371 93,466,114 46,733,057 140,199,172 70,099,586 35,049,793 105,149,380 52,574,690 26,287,345 78,862,036 39,431,018 19,715,509 59,146,528 29,573,264 14,786,632 7,393,316 3,696,658 1,848,329 5,544,988 2,772,494 1,386,247 4,158,742 2,079,371 6,238,114 3,119,057 9,357,172 4,678,586 2,339,293 7,017,880 3,508,940 1,754,470 877,235 2,631,706 1,315,853 3,947,560 1,973,780 986,890 493,445 1,480,336 740,168 370,084 185,042 92,521 277,564 138,782 69,391 208,174 104,087 312,262 156,131 468,394 234,197

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