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Atlas › Integer Profiles › Node 57,737,810

57,737,810

2 × 5 × 13 × 31 × 14327
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 13 × 31 × 14327
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 115,540,992
Proper Divisor Sum 57,803,182
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #57737809 ← → #57737819

Radix Representation

Decimal 57737810
Binary 11011100010000001001010010 (26 bits)
Octal 0o334201122
Hexadecimal 0x3710252

Divisor Catalog (32)

1 2 5 10 13 26 31 62 65 130 155 310 403 806 2,015 4,030 14,327 28,654 71,635 143,270 186,251 372,502 444,137 888,274 931,255 1,862,510 2,220,685 4,441,370 5,773,781 11,547,562 28,868,905 57,737,810

Collatz Trajectory (300 steps to reach 1)

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

57,737,810 28,868,905 86,606,716 43,303,358 21,651,679 64,955,038 32,477,519 97,432,558 48,716,279 146,148,838 73,074,419 219,223,258 109,611,629 328,834,888 164,417,444 82,208,722 41,104,361 123,313,084 61,656,542 30,828,271 92,484,814 46,242,407 138,727,222 69,363,611 208,090,834 104,045,417 312,136,252 156,068,126 78,034,063 234,102,190 117,051,095 351,153,286 175,576,643 526,729,930 263,364,965 790,094,896 395,047,448 197,523,724 98,761,862 49,380,931 148,142,794 74,071,397 222,214,192 111,107,096 55,553,548 27,776,774 13,888,387 41,665,162 20,832,581 62,497,744 31,248,872 15,624,436 7,812,218 3,906,109 11,718,328 5,859,164 2,929,582 1,464,791 4,394,374 2,197,187

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