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Atlas › Integer Profiles › Node 57,770,013

57,770,013

3 × 7 × 19 × 67 × 2161
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 19 × 67 × 2161
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 94,090,240
Proper Divisor Sum 36,320,227
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #57769991 ← → #57770021

Radix Representation

Decimal 57770013
Binary 11011100011000000000011101 (26 bits)
Octal 0o334300035
Hexadecimal 0x371801D

Divisor Catalog (32)

1 3 7 19 21 57 67 133 201 399 469 1,273 1,407 2,161 3,819 6,483 8,911 15,127 26,733 41,059 45,381 123,177 144,787 287,413 434,361 862,239 1,013,509 2,750,953 3,040,527 8,252,859 19,256,671 57,770,013

Collatz Trajectory (238 steps to reach 1)

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

57,770,013 173,310,040 86,655,020 43,327,510 21,663,755 64,991,266 32,495,633 97,486,900 48,743,450 24,371,725 73,115,176 36,557,588 18,278,794 9,139,397 27,418,192 13,709,096 6,854,548 3,427,274 1,713,637 5,140,912 2,570,456 1,285,228 642,614 321,307 963,922 481,961 1,445,884 722,942 361,471 1,084,414 542,207 1,626,622 813,311 2,439,934 1,219,967 3,659,902 1,829,951 5,489,854 2,744,927 8,234,782 4,117,391 12,352,174 6,176,087 18,528,262 9,264,131 27,792,394 13,896,197 41,688,592 20,844,296 10,422,148 5,211,074 2,605,537 7,816,612 3,908,306 1,954,153 5,862,460 2,931,230 1,465,615 4,396,846 2,198,423

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