λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,355,000
33,355,000
23 × 54 × 7 × 953
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^4 × 7 × 953
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 89,408,880
Proper Divisor Sum 56,053,880
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #33354989 ← → #33355009

Radix Representation

Decimal 33355000
Binary 1111111001111010011111000 (25 bits)
Octal 0o177172370
Hexadecimal 0x1FCF4F8

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 953 1,000 1,250 1,400 1,750 1,906 2,500 3,500 3,812 4,375 4,765 5,000 6,671 7,000 7,624 8,750 9,530 13,342 17,500 19,060 23,825 26,684 33,355 35,000 38,120 47,650 53,368 66,710 95,300 119,125 133,420 166,775

Collatz Trajectory (214 steps to reach 1)

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

33,355,000 16,677,500 8,338,750 4,169,375 12,508,126 6,254,063 18,762,190 9,381,095 28,143,286 14,071,643 42,214,930 21,107,465 63,322,396 31,661,198 15,830,599 47,491,798 23,745,899 71,237,698 35,618,849 106,856,548 53,428,274 26,714,137 80,142,412 40,071,206 20,035,603 60,106,810 30,053,405 90,160,216 45,080,108 22,540,054 11,270,027 33,810,082 16,905,041 50,715,124 25,357,562 12,678,781 38,036,344 19,018,172 9,509,086 4,754,543 14,263,630 7,131,815 21,395,446 10,697,723 32,093,170 16,046,585 48,139,756 24,069,878 12,034,939 36,104,818 18,052,409 54,157,228 27,078,614 13,539,307 40,617,922 20,308,961 60,926,884 30,463,442 15,231,721 45,695,164

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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