λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,764,664
57,764,664
23 × 34 × 97 × 919
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^4 × 97 × 919
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 163,640,400
Proper Divisor Sum 105,875,736
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #57764611 ← → #57764669

Radix Representation

Decimal 57764664
Binary 11011100010110101100111000 (26 bits)
Octal 0o334265470
Hexadecimal 0x3716B38

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 97 108 162 194 216 291 324 388 582 648 776 873 919 1,164 1,746 1,838 2,328 2,619 2,757 3,492 3,676 5,238 5,514 6,984 7,352 7,857 8,271 10,476 11,028 15,714 16,542 20,952 22,056 24,813 31,428 33,084 49,626 62,856 66,168 74,439 89,143 99,252 148,878 178,286 198,504

Collatz Trajectory (375 steps to reach 1)

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

57,764,664 28,882,332 14,441,166 7,220,583 21,661,750 10,830,875 32,492,626 16,246,313 48,738,940 24,369,470 12,184,735 36,554,206 18,277,103 54,831,310 27,415,655 82,246,966 41,123,483 123,370,450 61,685,225 185,055,676 92,527,838 46,263,919 138,791,758 69,395,879 208,187,638 104,093,819 312,281,458 156,140,729 468,422,188 234,211,094 117,105,547 351,316,642 175,658,321 526,974,964 263,487,482 131,743,741 395,231,224 197,615,612 98,807,806 49,403,903 148,211,710 74,105,855 222,317,566 111,158,783 333,476,350 166,738,175 500,214,526 250,107,263 750,321,790 375,160,895 1,125,482,686 562,741,343 1,688,224,030 844,112,015 2,532,336,046 1,266,168,023 3,798,504,070 1,899,252,035 5,697,756,106 2,848,878,053

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #57,764,663 Browse Full Index Next Integer #57,764,665 →