λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,704,475
33,704,475
3 × 52 × 7 × 43 × 1493
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 43 × 1493
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 65,210,112
Proper Divisor Sum 31,505,637
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #33704459 ← → #33704477

Radix Representation

Decimal 33704475
Binary 10000000100100101000011011 (26 bits)
Octal 0o200445033
Hexadecimal 0x2024A1B

Divisor Catalog (48)

1 3 5 7 15 21 25 35 43 75 105 129 175 215 301 525 645 903 1,075 1,493 1,505 3,225 4,479 4,515 7,465 7,525 10,451 22,395 22,575 31,353 37,325 52,255 64,199 111,975 156,765 192,597 261,275 320,995 449,393 783,825 962,985 1,348,179 1,604,975 2,246,965 4,814,925 6,740,895 11,234,825 33,704,475

Collatz Trajectory (131 steps to reach 1)

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

33,704,475 101,113,426 50,556,713 151,670,140 75,835,070 37,917,535 113,752,606 56,876,303 170,628,910 85,314,455 255,943,366 127,971,683 383,915,050 191,957,525 575,872,576 287,936,288 143,968,144 71,984,072 35,992,036 17,996,018 8,998,009 26,994,028 13,497,014 6,748,507 20,245,522 10,122,761 30,368,284 15,184,142 7,592,071 22,776,214 11,388,107 34,164,322 17,082,161 51,246,484 25,623,242 12,811,621 38,434,864 19,217,432 9,608,716 4,804,358 2,402,179 7,206,538 3,603,269 10,809,808 5,404,904 2,702,452 1,351,226 675,613 2,026,840 1,013,420 506,710 253,355 760,066 380,033 1,140,100 570,050 285,025 855,076 427,538 213,769

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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