λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,770,055
57,770,055
32 × 5 × 7 × 183397
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 183397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 114,440,352
Proper Divisor Sum 56,670,297
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #57770021 ← → #57770077

Radix Representation

Decimal 57770055
Binary 11011100011000000001000111 (26 bits)
Octal 0o334300107
Hexadecimal 0x3718047

Divisor Catalog (24)

1 3 5 7 9 15 21 35 45 63 105 315 183,397 550,191 916,985 1,283,779 1,650,573 2,750,955 3,851,337 6,418,895 8,252,865 11,554,011 19,256,685 57,770,055

Collatz Trajectory (269 steps to reach 1)

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

57,770,055 173,310,166 86,655,083 259,965,250 129,982,625 389,947,876 194,973,938 97,486,969 292,460,908 146,230,454 73,115,227 219,345,682 109,672,841 329,018,524 164,509,262 82,254,631 246,763,894 123,381,947 370,145,842 185,072,921 555,218,764 277,609,382 138,804,691 416,414,074 208,207,037 624,621,112 312,310,556 156,155,278 78,077,639 234,232,918 117,116,459 351,349,378 175,674,689 527,024,068 263,512,034 131,756,017 395,268,052 197,634,026 98,817,013 296,451,040 148,225,520 74,112,760 37,056,380 18,528,190 9,264,095 27,792,286 13,896,143 41,688,430 20,844,215 62,532,646 31,266,323 93,798,970 46,899,485 140,698,456 70,349,228 35,174,614 17,587,307 52,761,922 26,380,961 79,142,884

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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