λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,358,836
61,358,836
22 × 7 × 11 × 73 × 2729
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 73 × 2729
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 135,757,440
Proper Divisor Sum 74,398,604
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #61358833 ← → #61358861

Radix Representation

Decimal 61358836
Binary 11101010000100001011110100 (26 bits)
Octal 0o352041364
Hexadecimal 0x3A842F4

Divisor Catalog (48)

1 2 4 7 11 14 22 28 44 73 77 146 154 292 308 511 803 1,022 1,606 2,044 2,729 3,212 5,458 5,621 10,916 11,242 19,103 22,484 30,019 38,206 60,038 76,412 120,076 199,217 210,133 398,434 420,266 796,868 840,532 1,394,519 2,191,387 2,789,038 4,382,774 5,578,076 8,765,548 15,339,709 30,679,418 61,358,836

Collatz Trajectory (401 steps to reach 1)

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

61,358,836 30,679,418 15,339,709 46,019,128 23,009,564 11,504,782 5,752,391 17,257,174 8,628,587 25,885,762 12,942,881 38,828,644 19,414,322 9,707,161 29,121,484 14,560,742 7,280,371 21,841,114 10,920,557 32,761,672 16,380,836 8,190,418 4,095,209 12,285,628 6,142,814 3,071,407 9,214,222 4,607,111 13,821,334 6,910,667 20,732,002 10,366,001 31,098,004 15,549,002 7,774,501 23,323,504 11,661,752 5,830,876 2,915,438 1,457,719 4,373,158 2,186,579 6,559,738 3,279,869 9,839,608 4,919,804 2,459,902 1,229,951 3,689,854 1,844,927 5,534,782 2,767,391 8,302,174 4,151,087 12,453,262 6,226,631 18,679,894 9,339,947 28,019,842 14,009,921

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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