λ
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Atlas › Integer Profiles › Node 61,312,928

61,312,928

25 × 1093 × 1753
Deficient Even Composite

61,312,928 factors as 2^5 × 1093 × 1753. Its 24 positive divisors give a proper-divisor sum of 59,576,260, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^5 × 1093 × 1753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 120,889,188
Proper Divisor Sum 59,576,260
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #61312907 ← → #61312961

Radix Representation

Decimal 61312928
Binary 11101001111000111110100000 (26 bits)
Octal 0o351707640
Hexadecimal 0x3A78FA0

Divisor Catalog (24)

1 2 4 8 16 32 1,093 1,753 2,186 3,506 4,372 7,012 8,744 14,024 17,488 28,048 34,976 56,096 1,916,029 3,832,058 7,664,116 15,328,232 30,656,464 61,312,928

Collatz Trajectory (132 steps to reach 1)

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

61,312,928 30,656,464 15,328,232 7,664,116 3,832,058 1,916,029 5,748,088 2,874,044 1,437,022 718,511 2,155,534 1,077,767 3,233,302 1,616,651 4,849,954 2,424,977 7,274,932 3,637,466 1,818,733 5,456,200 2,728,100 1,364,050 682,025 2,046,076 1,023,038 511,519 1,534,558 767,279 2,301,838 1,150,919 3,452,758 1,726,379 5,179,138 2,589,569 7,768,708 3,884,354 1,942,177 5,826,532 2,913,266 1,456,633 4,369,900 2,184,950 1,092,475 3,277,426 1,638,713 4,916,140 2,458,070 1,229,035 3,687,106 1,843,553 5,530,660 2,765,330 1,382,665 4,147,996 2,073,998 1,036,999 3,110,998 1,555,499 4,666,498 2,333,249

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