λ
Ratio Atlas
Atlas › Integer Profiles › Node 25,752,475
25,752,475
52 × 7 × 31 × 47 × 101
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 7 × 31 × 47 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 38,854,656
Proper Divisor Sum 13,102,181
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #25752473 ← → #25752487

Radix Representation

Decimal 25752475
Binary 1100010001111001110011011 (25 bits)
Octal 0o142171633
Hexadecimal 0x188F39B

Divisor Catalog (48)

1 5 7 25 31 35 47 101 155 175 217 235 329 505 707 775 1,085 1,175 1,457 1,645 2,525 3,131 3,535 4,747 5,425 7,285 8,225 10,199 15,655 17,675 21,917 23,735 33,229 36,425 50,995 78,275 109,585 118,675 147,157 166,145 254,975 547,925 735,785 830,725 1,030,099 3,678,925 5,150,495 25,752,475

Collatz Trajectory (149 steps to reach 1)

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

25,752,475 77,257,426 38,628,713 115,886,140 57,943,070 28,971,535 86,914,606 43,457,303 130,371,910 65,185,955 195,557,866 97,778,933 293,336,800 146,668,400 73,334,200 36,667,100 18,333,550 9,166,775 27,500,326 13,750,163 41,250,490 20,625,245 61,875,736 30,937,868 15,468,934 7,734,467 23,203,402 11,601,701 34,805,104 17,402,552 8,701,276 4,350,638 2,175,319 6,525,958 3,262,979 9,788,938 4,894,469 14,683,408 7,341,704 3,670,852 1,835,426 917,713 2,753,140 1,376,570 688,285 2,064,856 1,032,428 516,214 258,107 774,322 387,161 1,161,484 580,742 290,371 871,114 435,557 1,306,672 653,336 326,668 163,334

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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