λ
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Atlas › Integer Profiles › Node 61,379,072

61,379,072

29 × 119881
Deficient Even Composite

61,379,072 factors as 2^9 × 119881. Its 20 positive divisors give a proper-divisor sum of 61,260,214, so this integer is deficient. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^9 × 119881
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 122,639,286
Proper Divisor Sum 61,260,214
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #61379047 ← → #61379083

Radix Representation

Decimal 61379072
Binary 11101010001001001000000000 (26 bits)
Octal 0o352111000
Hexadecimal 0x3A89200

Divisor Catalog (20)

1 2 4 8 16 32 64 128 256 512 119,881 239,762 479,524 959,048 1,918,096 3,836,192 7,672,384 15,344,768 30,689,536 61,379,072

Collatz Trajectory (83 steps to reach 1)

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

61,379,072 30,689,536 15,344,768 7,672,384 3,836,192 1,918,096 959,048 479,524 239,762 119,881 359,644 179,822 89,911 269,734 134,867 404,602 202,301 606,904 303,452 151,726 75,863 227,590 113,795 341,386 170,693 512,080 256,040 128,020 64,010 32,005 96,016 48,008 24,004 12,002 6,001 18,004 9,002 4,501 13,504 6,752 3,376 1,688 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304

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