λ
Ratio Atlas
Atlas › Integer Profiles › Node 25,758,040
25,758,040
23 × 5 × 7 × 11 × 8363
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 11 × 8363
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 72,264,960
Proper Divisor Sum 46,506,920
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #25758037 ← → #25758049

Radix Representation

Decimal 25758040
Binary 1100010010000100101011000 (25 bits)
Octal 0o142204530
Hexadecimal 0x1890958

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1,540 3,080 8,363 16,726 33,452 41,815 58,541 66,904 83,630 91,993 117,082 167,260 183,986 234,164 292,705 334,520 367,972 459,965 468,328 585,410 643,951 735,944 919,930 1,170,820 1,287,902 1,839,860 2,341,640 2,575,804 3,219,755 3,679,720

Collatz Trajectory (304 steps to reach 1)

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

25,758,040 12,879,020 6,439,510 3,219,755 9,659,266 4,829,633 14,488,900 7,244,450 3,622,225 10,866,676 5,433,338 2,716,669 8,150,008 4,075,004 2,037,502 1,018,751 3,056,254 1,528,127 4,584,382 2,292,191 6,876,574 3,438,287 10,314,862 5,157,431 15,472,294 7,736,147 23,208,442 11,604,221 34,812,664 17,406,332 8,703,166 4,351,583 13,054,750 6,527,375 19,582,126 9,791,063 29,373,190 14,686,595 44,059,786 22,029,893 66,089,680 33,044,840 16,522,420 8,261,210 4,130,605 12,391,816 6,195,908 3,097,954 1,548,977 4,646,932 2,323,466 1,161,733 3,485,200 1,742,600 871,300 435,650 217,825 653,476 326,738 163,369

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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