λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,749,454
57,749,454
2 × 32 × 7 × 6772
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 677^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 143,210,184
Proper Divisor Sum 85,460,730
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #57749453 ← → #57749501

Radix Representation

Decimal 57749454
Binary 11011100010010111111001110 (26 bits)
Octal 0o334227716
Hexadecimal 0x3712FCE

Divisor Catalog (36)

1 2 3 6 7 9 14 18 21 42 63 126 677 1,354 2,031 4,062 4,739 6,093 9,478 12,186 14,217 28,434 42,651 85,302 458,329 916,658 1,374,987 2,749,974 3,208,303 4,124,961 6,416,606 8,249,922 9,624,909 19,249,818 28,874,727 57,749,454

Collatz Trajectory (145 steps to reach 1)

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

57,749,454 28,874,727 86,624,182 43,312,091 129,936,274 64,968,137 194,904,412 97,452,206 48,726,103 146,178,310 73,089,155 219,267,466 109,633,733 328,901,200 164,450,600 82,225,300 41,112,650 20,556,325 61,668,976 30,834,488 15,417,244 7,708,622 3,854,311 11,562,934 5,781,467 17,344,402 8,672,201 26,016,604 13,008,302 6,504,151 19,512,454 9,756,227 29,268,682 14,634,341 43,903,024 21,951,512 10,975,756 5,487,878 2,743,939 8,231,818 4,115,909 12,347,728 6,173,864 3,086,932 1,543,466 771,733 2,315,200 1,157,600 578,800 289,400 144,700 72,350 36,175 108,526 54,263 162,790 81,395 244,186 122,093 366,280

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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