λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,397,352
61,397,352
23 × 35 × 31583
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^5 × 31583
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 172,448,640
Proper Divisor Sum 111,051,288
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #61397339 ← → #61397359

Radix Representation

Decimal 61397352
Binary 11101010001101100101101000 (26 bits)
Octal 0o352154550
Hexadecimal 0x3A8D968

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1,944 31,583 63,166 94,749 126,332 189,498 252,664 284,247 378,996 568,494 757,992 852,741 1,136,988 1,705,482 2,273,976 2,558,223 3,410,964 5,116,446 6,821,928 7,674,669 10,232,892 15,349,338 20,465,784 30,698,676 61,397,352

Collatz Trajectory (220 steps to reach 1)

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

61,397,352 30,698,676 15,349,338 7,674,669 23,024,008 11,512,004 5,756,002 2,878,001 8,634,004 4,317,002 2,158,501 6,475,504 3,237,752 1,618,876 809,438 404,719 1,214,158 607,079 1,821,238 910,619 2,731,858 1,365,929 4,097,788 2,048,894 1,024,447 3,073,342 1,536,671 4,610,014 2,305,007 6,915,022 3,457,511 10,372,534 5,186,267 15,558,802 7,779,401 23,338,204 11,669,102 5,834,551 17,503,654 8,751,827 26,255,482 13,127,741 39,383,224 19,691,612 9,845,806 4,922,903 14,768,710 7,384,355 22,153,066 11,076,533 33,229,600 16,614,800 8,307,400 4,153,700 2,076,850 1,038,425 3,115,276 1,557,638 778,819 2,336,458

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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