λ
Ratio Atlas
Atlas › Integer Profiles › Node 78,453,075
78,453,075
3 × 52 × 113 × 9257
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 113 × 9257
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 130,871,088
Proper Divisor Sum 52,418,013
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #78453019 ← → #78453103

Radix Representation

Decimal 78453075
Binary 100101011010001100101010011 (27 bits)
Octal 0o453214523
Hexadecimal 0x4AD1953

Divisor Catalog (24)

1 3 5 15 25 75 113 339 565 1,695 2,825 8,475 9,257 27,771 46,285 138,855 231,425 694,275 1,046,041 3,138,123 5,230,205 15,690,615 26,151,025 78,453,075

Collatz Trajectory (241 steps to reach 1)

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

78,453,075 235,359,226 117,679,613 353,038,840 176,519,420 88,259,710 44,129,855 132,389,566 66,194,783 198,584,350 99,292,175 297,876,526 148,938,263 446,814,790 223,407,395 670,222,186 335,111,093 1,005,333,280 502,666,640 251,333,320 125,666,660 62,833,330 31,416,665 94,249,996 47,124,998 23,562,499 70,687,498 35,343,749 106,031,248 53,015,624 26,507,812 13,253,906 6,626,953 19,880,860 9,940,430 4,970,215 14,910,646 7,455,323 22,365,970 11,182,985 33,548,956 16,774,478 8,387,239 25,161,718 12,580,859 37,742,578 18,871,289 56,613,868 28,306,934 14,153,467 42,460,402 21,230,201 63,690,604 31,845,302 15,922,651 47,767,954 23,883,977 71,651,932 35,825,966 17,912,983

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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