λ
Ratio Atlas
Atlas › Integer Profiles › Node 53,100,735
53,100,735
3 × 5 × 37 × 241 × 397
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 37 × 241 × 397
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 87,840,192
Proper Divisor Sum 34,739,457
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #53100709 ← → #53100757

Radix Representation

Decimal 53100735
Binary 11001010100100000010111111 (26 bits)
Octal 0o312440277
Hexadecimal 0x32A40BF

Divisor Catalog (32)

1 3 5 15 37 111 185 241 397 555 723 1,191 1,205 1,985 3,615 5,955 8,917 14,689 26,751 44,067 44,585 73,445 95,677 133,755 220,335 287,031 478,385 1,435,155 3,540,049 10,620,147 17,700,245 53,100,735

Collatz Trajectory (142 steps to reach 1)

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

53,100,735 159,302,206 79,651,103 238,953,310 119,476,655 358,429,966 179,214,983 537,644,950 268,822,475 806,467,426 403,233,713 1,209,701,140 604,850,570 302,425,285 907,275,856 453,637,928 226,818,964 113,409,482 56,704,741 170,114,224 85,057,112 42,528,556 21,264,278 10,632,139 31,896,418 15,948,209 47,844,628 23,922,314 11,961,157 35,883,472 17,941,736 8,970,868 4,485,434 2,242,717 6,728,152 3,364,076 1,682,038 841,019 2,523,058 1,261,529 3,784,588 1,892,294 946,147 2,838,442 1,419,221 4,257,664 2,128,832 1,064,416 532,208 266,104 133,052 66,526 33,263 99,790 49,895 149,686 74,843 224,530 112,265 336,796

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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