λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,503,200
33,503,200
25 × 52 × 41879
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5^2 × 41879
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 81,791,640
Proper Divisor Sum 48,288,440
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #33503179 ← → #33503201

Radix Representation

Decimal 33503200
Binary 1111111110011011111100000 (25 bits)
Octal 0o177633740
Hexadecimal 0x1FF37E0

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 41,879 83,758 167,516 209,395 335,032 418,790 670,064 837,580 1,046,975 1,340,128 1,675,160 2,093,950 3,350,320 4,187,900 6,700,640 8,375,800 16,751,600 33,503,200

Collatz Trajectory (139 steps to reach 1)

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

33,503,200 16,751,600 8,375,800 4,187,900 2,093,950 1,046,975 3,140,926 1,570,463 4,711,390 2,355,695 7,067,086 3,533,543 10,600,630 5,300,315 15,900,946 7,950,473 23,851,420 11,925,710 5,962,855 17,888,566 8,944,283 26,832,850 13,416,425 40,249,276 20,124,638 10,062,319 30,186,958 15,093,479 45,280,438 22,640,219 67,920,658 33,960,329 101,880,988 50,940,494 25,470,247 76,410,742 38,205,371 114,616,114 57,308,057 171,924,172 85,962,086 42,981,043 128,943,130 64,471,565 193,414,696 96,707,348 48,353,674 24,176,837 72,530,512 36,265,256 18,132,628 9,066,314 4,533,157 13,599,472 6,799,736 3,399,868 1,699,934 849,967 2,549,902 1,274,951

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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