λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,077,552
32,077,552
24 × 132 × 11863
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 13^2 × 11863
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 67,304,472
Proper Divisor Sum 35,226,920
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #32077537 ← → #32077553

Radix Representation

Decimal 32077552
Binary 1111010010111011011110000 (25 bits)
Octal 0o172273360
Hexadecimal 0x1E976F0

Divisor Catalog (30)

1 2 4 8 13 16 26 52 104 169 208 338 676 1,352 2,704 11,863 23,726 47,452 94,904 154,219 189,808 308,438 616,876 1,233,752 2,004,847 2,467,504 4,009,694 8,019,388 16,038,776 32,077,552

Collatz Trajectory (118 steps to reach 1)

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

32,077,552 16,038,776 8,019,388 4,009,694 2,004,847 6,014,542 3,007,271 9,021,814 4,510,907 13,532,722 6,766,361 20,299,084 10,149,542 5,074,771 15,224,314 7,612,157 22,836,472 11,418,236 5,709,118 2,854,559 8,563,678 4,281,839 12,845,518 6,422,759 19,268,278 9,634,139 28,902,418 14,451,209 43,353,628 21,676,814 10,838,407 32,515,222 16,257,611 48,772,834 24,386,417 73,159,252 36,579,626 18,289,813 54,869,440 27,434,720 13,717,360 6,858,680 3,429,340 1,714,670 857,335 2,572,006 1,286,003 3,858,010 1,929,005 5,787,016 2,893,508 1,446,754 723,377 2,170,132 1,085,066 542,533 1,627,600 813,800 406,900 203,450

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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